Calculations within Matrix Tikz












5















How can I tell tikz to make a calculation within a matrix. The same syntax outside does not work within as is shown in this MWE:



documentclass{article}

usepackage{tikz}

usetikzlibrary{matrix,calc}

usetikzlibrary{intersections}



begin{document}

begin{center}

begin{tikzpicture}[scale=.8, declare function={f(x)=1/ln(2)*ln(x);}]

draw[step=1.0,gray,thin,dotted] (-.5,-3) grid (8.5,4);

draw [-latex] (-.5,0) -- (8.5,0) node (xaxis) [below] {$x$};

draw [-latex] (0,-3.5) -- (0,4) node [left] {$y$};

   foreach x/xtext in {1/1,2/2,3/3,4/4,5/5,6/6}

   draw[xshift=x cm] (0pt,3pt) -- (0pt,0pt) 

     node[below=2pt,fill=white,font=normalsize]

  {$xtext$};    

   foreach y/ytext in {-2/-2,-1/-1, 1/1,2/2,3/3}

     draw[yshift=y cm] (2pt,0pt) -- (-2pt,0pt) 

    node[left,fill=white,font=normalsize]

    {$ytext$};

draw[name path=curve,domain=.17:8.5,samples=200,variable=x,red,<->,thick] 

   plot ({x},{f(x)});

 draw[fill=red,red] (1,{f(1)}) circle (3pt) node {};

 draw[fill=red,red] (2,{f(2)}) circle (3pt) node {};

 draw[fill=red,red] (4,{f(4)}) circle (3pt) node {};

 draw[fill=red,red] (8,{f(8)}) circle (3pt) node {};

 draw[fill=red,red] (.5,{f(.5)}) circle (3pt) ;

 draw[fill=red,red] (.25,{f(.25)}) circle (3pt) node {$$};

 node at (3.5,3.5) [text=red,fill=white] {$f(x)=log_{2} x, text{or} 2^{y}=x$};

 matrix[matrix of math nodes,nodes={align=center,inner sep=3pt,

  text height=1.5ex,text depth=.25ex,draw=gray!40,ultra thin},draw,inner 

   sep=0pt,ampersand replacement=&] (mat1)

    at (-5,0){

   |[fill=green!40!gray,text width=15mm]| x, text{or} 2^{y}  & | 

  [fill=green!40!gray,text width=11mm]| f(x) \ 

                 |[text width=15mm]|   1                      & |[text  

     width=11mm]|  0\

                                     |[text width=15mm]|   2                      

  & |[text width=11mm]|  1\

                                     |[text width=15mm]|   4                      

  & |[text width=11mm]|  2\

                                     |[text width=15mm]|   8                      

    & |[text width=11mm]|  {f(3)}3\

                                     |[text width=15mm]|   frac{1}{2}                      

  & |[text width=11mm]|  -1\

                                     |[text width=15mm]|   frac{1}{4}                      

  & |[text width=11mm]|  -2\

                                    };

end{tikzpicture}

end{center}

end{document}


This outputs



enter image description here






tikz-pgf tikz-matrix tikz-calc







share|improve this question


















  • 2





    Replace {f(3)} in the matrix by {pgfmathparse{f(3)}pgfmathprintnumber{pgfmathresult}} or, which seems more appropriate, {pgfmathparse{f(8)}pgfmathprintnumber{pgfmathresult}}?

    – marmot
    7 hours ago













  • @Marmot. I was just going to try that! Thank Marmot! Yes it works.

    – MathScholar
    7 hours ago


















5















How can I tell tikz to make a calculation within a matrix. The same syntax outside does not work within as is shown in this MWE:



documentclass{article}

usepackage{tikz}

usetikzlibrary{matrix,calc}

usetikzlibrary{intersections}



begin{document}

begin{center}

begin{tikzpicture}[scale=.8, declare function={f(x)=1/ln(2)*ln(x);}]

draw[step=1.0,gray,thin,dotted] (-.5,-3) grid (8.5,4);

draw [-latex] (-.5,0) -- (8.5,0) node (xaxis) [below] {$x$};

draw [-latex] (0,-3.5) -- (0,4) node [left] {$y$};

   foreach x/xtext in {1/1,2/2,3/3,4/4,5/5,6/6}

   draw[xshift=x cm] (0pt,3pt) -- (0pt,0pt) 

     node[below=2pt,fill=white,font=normalsize]

  {$xtext$};    

   foreach y/ytext in {-2/-2,-1/-1, 1/1,2/2,3/3}

     draw[yshift=y cm] (2pt,0pt) -- (-2pt,0pt) 

    node[left,fill=white,font=normalsize]

    {$ytext$};

draw[name path=curve,domain=.17:8.5,samples=200,variable=x,red,<->,thick] 

   plot ({x},{f(x)});

 draw[fill=red,red] (1,{f(1)}) circle (3pt) node {};

 draw[fill=red,red] (2,{f(2)}) circle (3pt) node {};

 draw[fill=red,red] (4,{f(4)}) circle (3pt) node {};

 draw[fill=red,red] (8,{f(8)}) circle (3pt) node {};

 draw[fill=red,red] (.5,{f(.5)}) circle (3pt) ;

 draw[fill=red,red] (.25,{f(.25)}) circle (3pt) node {$$};

 node at (3.5,3.5) [text=red,fill=white] {$f(x)=log_{2} x, text{or} 2^{y}=x$};

 matrix[matrix of math nodes,nodes={align=center,inner sep=3pt,

  text height=1.5ex,text depth=.25ex,draw=gray!40,ultra thin},draw,inner 

   sep=0pt,ampersand replacement=&] (mat1)

    at (-5,0){

   |[fill=green!40!gray,text width=15mm]| x, text{or} 2^{y}  & | 

  [fill=green!40!gray,text width=11mm]| f(x) \ 

                 |[text width=15mm]|   1                      & |[text  

     width=11mm]|  0\

                                     |[text width=15mm]|   2                      

  & |[text width=11mm]|  1\

                                     |[text width=15mm]|   4                      

  & |[text width=11mm]|  2\

                                     |[text width=15mm]|   8                      

    & |[text width=11mm]|  {f(3)}3\

                                     |[text width=15mm]|   frac{1}{2}                      

  & |[text width=11mm]|  -1\

                                     |[text width=15mm]|   frac{1}{4}                      

  & |[text width=11mm]|  -2\

                                    };

end{tikzpicture}

end{center}

end{document}


This outputs



enter image description here






tikz-pgf tikz-matrix tikz-calc







share|improve this question


















  • 2





    Replace {f(3)} in the matrix by {pgfmathparse{f(3)}pgfmathprintnumber{pgfmathresult}} or, which seems more appropriate, {pgfmathparse{f(8)}pgfmathprintnumber{pgfmathresult}}?

    – marmot
    7 hours ago













  • @Marmot. I was just going to try that! Thank Marmot! Yes it works.

    – MathScholar
    7 hours ago
















5












5








5








How can I tell tikz to make a calculation within a matrix. The same syntax outside does not work within as is shown in this MWE:



documentclass{article}

usepackage{tikz}

usetikzlibrary{matrix,calc}

usetikzlibrary{intersections}



begin{document}

begin{center}

begin{tikzpicture}[scale=.8, declare function={f(x)=1/ln(2)*ln(x);}]

draw[step=1.0,gray,thin,dotted] (-.5,-3) grid (8.5,4);

draw [-latex] (-.5,0) -- (8.5,0) node (xaxis) [below] {$x$};

draw [-latex] (0,-3.5) -- (0,4) node [left] {$y$};

   foreach x/xtext in {1/1,2/2,3/3,4/4,5/5,6/6}

   draw[xshift=x cm] (0pt,3pt) -- (0pt,0pt) 

     node[below=2pt,fill=white,font=normalsize]

  {$xtext$};    

   foreach y/ytext in {-2/-2,-1/-1, 1/1,2/2,3/3}

     draw[yshift=y cm] (2pt,0pt) -- (-2pt,0pt) 

    node[left,fill=white,font=normalsize]

    {$ytext$};

draw[name path=curve,domain=.17:8.5,samples=200,variable=x,red,<->,thick] 

   plot ({x},{f(x)});

 draw[fill=red,red] (1,{f(1)}) circle (3pt) node {};

 draw[fill=red,red] (2,{f(2)}) circle (3pt) node {};

 draw[fill=red,red] (4,{f(4)}) circle (3pt) node {};

 draw[fill=red,red] (8,{f(8)}) circle (3pt) node {};

 draw[fill=red,red] (.5,{f(.5)}) circle (3pt) ;

 draw[fill=red,red] (.25,{f(.25)}) circle (3pt) node {$$};

 node at (3.5,3.5) [text=red,fill=white] {$f(x)=log_{2} x, text{or} 2^{y}=x$};

 matrix[matrix of math nodes,nodes={align=center,inner sep=3pt,

  text height=1.5ex,text depth=.25ex,draw=gray!40,ultra thin},draw,inner 

   sep=0pt,ampersand replacement=&] (mat1)

    at (-5,0){

   |[fill=green!40!gray,text width=15mm]| x, text{or} 2^{y}  & | 

  [fill=green!40!gray,text width=11mm]| f(x) \ 

                 |[text width=15mm]|   1                      & |[text  

     width=11mm]|  0\

                                     |[text width=15mm]|   2                      

  & |[text width=11mm]|  1\

                                     |[text width=15mm]|   4                      

  & |[text width=11mm]|  2\

                                     |[text width=15mm]|   8                      

    & |[text width=11mm]|  {f(3)}3\

                                     |[text width=15mm]|   frac{1}{2}                      

  & |[text width=11mm]|  -1\

                                     |[text width=15mm]|   frac{1}{4}                      

  & |[text width=11mm]|  -2\

                                    };

end{tikzpicture}

end{center}

end{document}


This outputs



enter image description here






tikz-pgf tikz-matrix tikz-calc







share|improve this question














How can I tell tikz to make a calculation within a matrix. The same syntax outside does not work within as is shown in this MWE:



documentclass{article}

usepackage{tikz}

usetikzlibrary{matrix,calc}

usetikzlibrary{intersections}



begin{document}

begin{center}

begin{tikzpicture}[scale=.8, declare function={f(x)=1/ln(2)*ln(x);}]

draw[step=1.0,gray,thin,dotted] (-.5,-3) grid (8.5,4);

draw [-latex] (-.5,0) -- (8.5,0) node (xaxis) [below] {$x$};

draw [-latex] (0,-3.5) -- (0,4) node [left] {$y$};

   foreach x/xtext in {1/1,2/2,3/3,4/4,5/5,6/6}

   draw[xshift=x cm] (0pt,3pt) -- (0pt,0pt) 

     node[below=2pt,fill=white,font=normalsize]

  {$xtext$};    

   foreach y/ytext in {-2/-2,-1/-1, 1/1,2/2,3/3}

     draw[yshift=y cm] (2pt,0pt) -- (-2pt,0pt) 

    node[left,fill=white,font=normalsize]

    {$ytext$};

draw[name path=curve,domain=.17:8.5,samples=200,variable=x,red,<->,thick] 

   plot ({x},{f(x)});

 draw[fill=red,red] (1,{f(1)}) circle (3pt) node {};

 draw[fill=red,red] (2,{f(2)}) circle (3pt) node {};

 draw[fill=red,red] (4,{f(4)}) circle (3pt) node {};

 draw[fill=red,red] (8,{f(8)}) circle (3pt) node {};

 draw[fill=red,red] (.5,{f(.5)}) circle (3pt) ;

 draw[fill=red,red] (.25,{f(.25)}) circle (3pt) node {$$};

 node at (3.5,3.5) [text=red,fill=white] {$f(x)=log_{2} x, text{or} 2^{y}=x$};

 matrix[matrix of math nodes,nodes={align=center,inner sep=3pt,

  text height=1.5ex,text depth=.25ex,draw=gray!40,ultra thin},draw,inner 

   sep=0pt,ampersand replacement=&] (mat1)

    at (-5,0){

   |[fill=green!40!gray,text width=15mm]| x, text{or} 2^{y}  & | 

  [fill=green!40!gray,text width=11mm]| f(x) \ 

                 |[text width=15mm]|   1                      & |[text  

     width=11mm]|  0\

                                     |[text width=15mm]|   2                      

  & |[text width=11mm]|  1\

                                     |[text width=15mm]|   4                      

  & |[text width=11mm]|  2\

                                     |[text width=15mm]|   8                      

    & |[text width=11mm]|  {f(3)}3\

                                     |[text width=15mm]|   frac{1}{2}                      

  & |[text width=11mm]|  -1\

                                     |[text width=15mm]|   frac{1}{4}                      

  & |[text width=11mm]|  -2\

                                    };

end{tikzpicture}

end{center}

end{document}


This outputs



enter image description here






tikz-pgf tikz-matrix tikz-calc




tikz-pgf tikz-matrix tikz-calc






share|improve this question













share|improve this question











share|improve this question




share|improve this question










asked 7 hours ago









MathScholarMathScholar

78629




78629








  • 2





    Replace {f(3)} in the matrix by {pgfmathparse{f(3)}pgfmathprintnumber{pgfmathresult}} or, which seems more appropriate, {pgfmathparse{f(8)}pgfmathprintnumber{pgfmathresult}}?

    – marmot
    7 hours ago













  • @Marmot. I was just going to try that! Thank Marmot! Yes it works.

    – MathScholar
    7 hours ago
















  • 2





    Replace {f(3)} in the matrix by {pgfmathparse{f(3)}pgfmathprintnumber{pgfmathresult}} or, which seems more appropriate, {pgfmathparse{f(8)}pgfmathprintnumber{pgfmathresult}}?

    – marmot
    7 hours ago













  • @Marmot. I was just going to try that! Thank Marmot! Yes it works.

    – MathScholar
    7 hours ago










2




2





Replace {f(3)} in the matrix by {pgfmathparse{f(3)}pgfmathprintnumber{pgfmathresult}} or, which seems more appropriate, {pgfmathparse{f(8)}pgfmathprintnumber{pgfmathresult}}?

– marmot
7 hours ago







Replace {f(3)} in the matrix by {pgfmathparse{f(3)}pgfmathprintnumber{pgfmathresult}} or, which seems more appropriate, {pgfmathparse{f(8)}pgfmathprintnumber{pgfmathresult}}?

– marmot
7 hours ago















@Marmot. I was just going to try that! Thank Marmot! Yes it works.

– MathScholar
7 hours ago







@Marmot. I was just going to try that! Thank Marmot! Yes it works.

– MathScholar
7 hours ago












1 Answer
1






active

oldest

votes


















6














I'll be happy to remove this if you want to remove your question, or feel it is not appropriate.



documentclass{article}

usepackage{amsmath}

usepackage{tikz}

usetikzlibrary{matrix,calc}

usetikzlibrary{intersections}



begin{document}

begin{center}

begin{tikzpicture}[scale=.8, declare function={f(x)=1/ln(2)*ln(x);}]

draw[step=1.0,gray,thin,dotted] (-.5,-3) grid (8.5,4);

draw [-latex] (-.5,0) -- (8.5,0) node (xaxis) [below] {$x$};

draw [-latex] (0,-3.5) -- (0,4) node [left] {$y$};

   foreach x/xtext in {1/1,2/2,3/3,4/4,5/5,6/6}

   draw[xshift=x cm] (0pt,3pt) -- (0pt,0pt) 

     node[below=2pt,fill=white,font=normalsize]

  {$xtext$};    

   foreach y/ytext in {-2/-2,-1/-1, 1/1,2/2,3/3}

     draw[yshift=y cm] (2pt,0pt) -- (-2pt,0pt) 

    node[left,fill=white,font=normalsize]

    {$ytext$};

draw[name path=curve,domain=.17:8.5,samples=200,variable=x,red,<->,thick] 

   plot ({x},{f(x)});

 draw[fill=red,red] (1,{f(1)}) circle (3pt) node {};

 draw[fill=red,red] (2,{f(2)}) circle (3pt) node {};

 draw[fill=red,red] (4,{f(4)}) circle (3pt) node {};

 draw[fill=red,red] (8,{f(8)}) circle (3pt) node {};

 draw[fill=red,red] (.5,{f(.5)}) circle (3pt) ;

 draw[fill=red,red] (.25,{f(.25)}) circle (3pt) node {$$};

 node at (3.5,3.5) [text=red,fill=white] {$f(x)=log_{2} x, text{or} 2^{y}=x$};

 matrix[matrix of math nodes,nodes={align=center,inner sep=3pt,

  text height=1.5ex,text depth=.25ex,draw=gray!40,ultra thin},draw,inner 

   sep=0pt,ampersand replacement=&] (mat1)

    at (-5,0){

   |[fill=green!40!gray,text width=15mm]| x, text{or} 2^{y}  & | 

  [fill=green!40!gray,text width=11mm]| f(x) \ 

                 |[text width=15mm]|   1                      & |[text  

     width=11mm]|  0\

                                     |[text width=15mm]|   2                      

  & |[text width=11mm]|  1\

                                     |[text width=15mm]|   4                      

  & |[text width=11mm]|  2\

                                     |[text width=15mm]|   8                      

    & |[text width=11mm]| 

    {pgfmathparse{f(8)}pgfmathprintnumber{pgfmathresult}}\

                                     |[text width=15mm]|   frac{1}{2}                      

  & |[text width=11mm]|  -1\

                                     |[text width=15mm]|   frac{1}{4}                      

  & |[text width=11mm]|  -2\

                                    };

end{tikzpicture}

end{center}

end{document}


enter image description here






share|improve this answer



















  • 2





    no it is okay to leave. It may be helpful to someone else!

    – MathScholar
    7 hours ago











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1 Answer
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active

oldest

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1 Answer
1






active

oldest

votes









active

oldest

votes






active

oldest

votes









6














I'll be happy to remove this if you want to remove your question, or feel it is not appropriate.



documentclass{article}

usepackage{amsmath}

usepackage{tikz}

usetikzlibrary{matrix,calc}

usetikzlibrary{intersections}



begin{document}

begin{center}

begin{tikzpicture}[scale=.8, declare function={f(x)=1/ln(2)*ln(x);}]

draw[step=1.0,gray,thin,dotted] (-.5,-3) grid (8.5,4);

draw [-latex] (-.5,0) -- (8.5,0) node (xaxis) [below] {$x$};

draw [-latex] (0,-3.5) -- (0,4) node [left] {$y$};

   foreach x/xtext in {1/1,2/2,3/3,4/4,5/5,6/6}

   draw[xshift=x cm] (0pt,3pt) -- (0pt,0pt) 

     node[below=2pt,fill=white,font=normalsize]

  {$xtext$};    

   foreach y/ytext in {-2/-2,-1/-1, 1/1,2/2,3/3}

     draw[yshift=y cm] (2pt,0pt) -- (-2pt,0pt) 

    node[left,fill=white,font=normalsize]

    {$ytext$};

draw[name path=curve,domain=.17:8.5,samples=200,variable=x,red,<->,thick] 

   plot ({x},{f(x)});

 draw[fill=red,red] (1,{f(1)}) circle (3pt) node {};

 draw[fill=red,red] (2,{f(2)}) circle (3pt) node {};

 draw[fill=red,red] (4,{f(4)}) circle (3pt) node {};

 draw[fill=red,red] (8,{f(8)}) circle (3pt) node {};

 draw[fill=red,red] (.5,{f(.5)}) circle (3pt) ;

 draw[fill=red,red] (.25,{f(.25)}) circle (3pt) node {$$};

 node at (3.5,3.5) [text=red,fill=white] {$f(x)=log_{2} x, text{or} 2^{y}=x$};

 matrix[matrix of math nodes,nodes={align=center,inner sep=3pt,

  text height=1.5ex,text depth=.25ex,draw=gray!40,ultra thin},draw,inner 

   sep=0pt,ampersand replacement=&] (mat1)

    at (-5,0){

   |[fill=green!40!gray,text width=15mm]| x, text{or} 2^{y}  & | 

  [fill=green!40!gray,text width=11mm]| f(x) \ 

                 |[text width=15mm]|   1                      & |[text  

     width=11mm]|  0\

                                     |[text width=15mm]|   2                      

  & |[text width=11mm]|  1\

                                     |[text width=15mm]|   4                      

  & |[text width=11mm]|  2\

                                     |[text width=15mm]|   8                      

    & |[text width=11mm]| 

    {pgfmathparse{f(8)}pgfmathprintnumber{pgfmathresult}}\

                                     |[text width=15mm]|   frac{1}{2}                      

  & |[text width=11mm]|  -1\

                                     |[text width=15mm]|   frac{1}{4}                      

  & |[text width=11mm]|  -2\

                                    };

end{tikzpicture}

end{center}

end{document}


enter image description here






share|improve this answer



















  • 2





    no it is okay to leave. It may be helpful to someone else!

    – MathScholar
    7 hours ago
















6














I'll be happy to remove this if you want to remove your question, or feel it is not appropriate.



documentclass{article}

usepackage{amsmath}

usepackage{tikz}

usetikzlibrary{matrix,calc}

usetikzlibrary{intersections}



begin{document}

begin{center}

begin{tikzpicture}[scale=.8, declare function={f(x)=1/ln(2)*ln(x);}]

draw[step=1.0,gray,thin,dotted] (-.5,-3) grid (8.5,4);

draw [-latex] (-.5,0) -- (8.5,0) node (xaxis) [below] {$x$};

draw [-latex] (0,-3.5) -- (0,4) node [left] {$y$};

   foreach x/xtext in {1/1,2/2,3/3,4/4,5/5,6/6}

   draw[xshift=x cm] (0pt,3pt) -- (0pt,0pt) 

     node[below=2pt,fill=white,font=normalsize]

  {$xtext$};    

   foreach y/ytext in {-2/-2,-1/-1, 1/1,2/2,3/3}

     draw[yshift=y cm] (2pt,0pt) -- (-2pt,0pt) 

    node[left,fill=white,font=normalsize]

    {$ytext$};

draw[name path=curve,domain=.17:8.5,samples=200,variable=x,red,<->,thick] 

   plot ({x},{f(x)});

 draw[fill=red,red] (1,{f(1)}) circle (3pt) node {};

 draw[fill=red,red] (2,{f(2)}) circle (3pt) node {};

 draw[fill=red,red] (4,{f(4)}) circle (3pt) node {};

 draw[fill=red,red] (8,{f(8)}) circle (3pt) node {};

 draw[fill=red,red] (.5,{f(.5)}) circle (3pt) ;

 draw[fill=red,red] (.25,{f(.25)}) circle (3pt) node {$$};

 node at (3.5,3.5) [text=red,fill=white] {$f(x)=log_{2} x, text{or} 2^{y}=x$};

 matrix[matrix of math nodes,nodes={align=center,inner sep=3pt,

  text height=1.5ex,text depth=.25ex,draw=gray!40,ultra thin},draw,inner 

   sep=0pt,ampersand replacement=&] (mat1)

    at (-5,0){

   |[fill=green!40!gray,text width=15mm]| x, text{or} 2^{y}  & | 

  [fill=green!40!gray,text width=11mm]| f(x) \ 

                 |[text width=15mm]|   1                      & |[text  

     width=11mm]|  0\

                                     |[text width=15mm]|   2                      

  & |[text width=11mm]|  1\

                                     |[text width=15mm]|   4                      

  & |[text width=11mm]|  2\

                                     |[text width=15mm]|   8                      

    & |[text width=11mm]| 

    {pgfmathparse{f(8)}pgfmathprintnumber{pgfmathresult}}\

                                     |[text width=15mm]|   frac{1}{2}                      

  & |[text width=11mm]|  -1\

                                     |[text width=15mm]|   frac{1}{4}                      

  & |[text width=11mm]|  -2\

                                    };

end{tikzpicture}

end{center}

end{document}


enter image description here






share|improve this answer



















  • 2





    no it is okay to leave. It may be helpful to someone else!

    – MathScholar
    7 hours ago














6












6








6







I'll be happy to remove this if you want to remove your question, or feel it is not appropriate.



documentclass{article}

usepackage{amsmath}

usepackage{tikz}

usetikzlibrary{matrix,calc}

usetikzlibrary{intersections}



begin{document}

begin{center}

begin{tikzpicture}[scale=.8, declare function={f(x)=1/ln(2)*ln(x);}]

draw[step=1.0,gray,thin,dotted] (-.5,-3) grid (8.5,4);

draw [-latex] (-.5,0) -- (8.5,0) node (xaxis) [below] {$x$};

draw [-latex] (0,-3.5) -- (0,4) node [left] {$y$};

   foreach x/xtext in {1/1,2/2,3/3,4/4,5/5,6/6}

   draw[xshift=x cm] (0pt,3pt) -- (0pt,0pt) 

     node[below=2pt,fill=white,font=normalsize]

  {$xtext$};    

   foreach y/ytext in {-2/-2,-1/-1, 1/1,2/2,3/3}

     draw[yshift=y cm] (2pt,0pt) -- (-2pt,0pt) 

    node[left,fill=white,font=normalsize]

    {$ytext$};

draw[name path=curve,domain=.17:8.5,samples=200,variable=x,red,<->,thick] 

   plot ({x},{f(x)});

 draw[fill=red,red] (1,{f(1)}) circle (3pt) node {};

 draw[fill=red,red] (2,{f(2)}) circle (3pt) node {};

 draw[fill=red,red] (4,{f(4)}) circle (3pt) node {};

 draw[fill=red,red] (8,{f(8)}) circle (3pt) node {};

 draw[fill=red,red] (.5,{f(.5)}) circle (3pt) ;

 draw[fill=red,red] (.25,{f(.25)}) circle (3pt) node {$$};

 node at (3.5,3.5) [text=red,fill=white] {$f(x)=log_{2} x, text{or} 2^{y}=x$};

 matrix[matrix of math nodes,nodes={align=center,inner sep=3pt,

  text height=1.5ex,text depth=.25ex,draw=gray!40,ultra thin},draw,inner 

   sep=0pt,ampersand replacement=&] (mat1)

    at (-5,0){

   |[fill=green!40!gray,text width=15mm]| x, text{or} 2^{y}  & | 

  [fill=green!40!gray,text width=11mm]| f(x) \ 

                 |[text width=15mm]|   1                      & |[text  

     width=11mm]|  0\

                                     |[text width=15mm]|   2                      

  & |[text width=11mm]|  1\

                                     |[text width=15mm]|   4                      

  & |[text width=11mm]|  2\

                                     |[text width=15mm]|   8                      

    & |[text width=11mm]| 

    {pgfmathparse{f(8)}pgfmathprintnumber{pgfmathresult}}\

                                     |[text width=15mm]|   frac{1}{2}                      

  & |[text width=11mm]|  -1\

                                     |[text width=15mm]|   frac{1}{4}                      

  & |[text width=11mm]|  -2\

                                    };

end{tikzpicture}

end{center}

end{document}


enter image description here






share|improve this answer













I'll be happy to remove this if you want to remove your question, or feel it is not appropriate.



documentclass{article}

usepackage{amsmath}

usepackage{tikz}

usetikzlibrary{matrix,calc}

usetikzlibrary{intersections}



begin{document}

begin{center}

begin{tikzpicture}[scale=.8, declare function={f(x)=1/ln(2)*ln(x);}]

draw[step=1.0,gray,thin,dotted] (-.5,-3) grid (8.5,4);

draw [-latex] (-.5,0) -- (8.5,0) node (xaxis) [below] {$x$};

draw [-latex] (0,-3.5) -- (0,4) node [left] {$y$};

   foreach x/xtext in {1/1,2/2,3/3,4/4,5/5,6/6}

   draw[xshift=x cm] (0pt,3pt) -- (0pt,0pt) 

     node[below=2pt,fill=white,font=normalsize]

  {$xtext$};    

   foreach y/ytext in {-2/-2,-1/-1, 1/1,2/2,3/3}

     draw[yshift=y cm] (2pt,0pt) -- (-2pt,0pt) 

    node[left,fill=white,font=normalsize]

    {$ytext$};

draw[name path=curve,domain=.17:8.5,samples=200,variable=x,red,<->,thick] 

   plot ({x},{f(x)});

 draw[fill=red,red] (1,{f(1)}) circle (3pt) node {};

 draw[fill=red,red] (2,{f(2)}) circle (3pt) node {};

 draw[fill=red,red] (4,{f(4)}) circle (3pt) node {};

 draw[fill=red,red] (8,{f(8)}) circle (3pt) node {};

 draw[fill=red,red] (.5,{f(.5)}) circle (3pt) ;

 draw[fill=red,red] (.25,{f(.25)}) circle (3pt) node {$$};

 node at (3.5,3.5) [text=red,fill=white] {$f(x)=log_{2} x, text{or} 2^{y}=x$};

 matrix[matrix of math nodes,nodes={align=center,inner sep=3pt,

  text height=1.5ex,text depth=.25ex,draw=gray!40,ultra thin},draw,inner 

   sep=0pt,ampersand replacement=&] (mat1)

    at (-5,0){

   |[fill=green!40!gray,text width=15mm]| x, text{or} 2^{y}  & | 

  [fill=green!40!gray,text width=11mm]| f(x) \ 

                 |[text width=15mm]|   1                      & |[text  

     width=11mm]|  0\

                                     |[text width=15mm]|   2                      

  & |[text width=11mm]|  1\

                                     |[text width=15mm]|   4                      

  & |[text width=11mm]|  2\

                                     |[text width=15mm]|   8                      

    & |[text width=11mm]| 

    {pgfmathparse{f(8)}pgfmathprintnumber{pgfmathresult}}\

                                     |[text width=15mm]|   frac{1}{2}                      

  & |[text width=11mm]|  -1\

                                     |[text width=15mm]|   frac{1}{4}                      

  & |[text width=11mm]|  -2\

                                    };

end{tikzpicture}

end{center}

end{document}


enter image description here







share|improve this answer












share|improve this answer



share|improve this answer










answered 7 hours ago









marmotmarmot

97.5k4112215




97.5k4112215








  • 2





    no it is okay to leave. It may be helpful to someone else!

    – MathScholar
    7 hours ago














  • 2





    no it is okay to leave. It may be helpful to someone else!

    – MathScholar
    7 hours ago








2




2





no it is okay to leave. It may be helpful to someone else!

– MathScholar
7 hours ago





no it is okay to leave. It may be helpful to someone else!

– MathScholar
7 hours ago


















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