Question 134038
Do you mean {{{log(2,x)}}} or {{{log(2x)}}}?


Either way, pick a few values for x and use a log table or your calculator to determine the value of the logarithm for each of the values you selected.  Then you will have one ordered pair (x,y) for each of the values you chose for x.  The value you chose will be the x part of (x,y) and the logarithm of that value will be the y part.  Plot the points on a graph and draw a smooth curve connecting them.


If you meant {{{log(2,x)}}},  then your graph should look like this:


{{{drawing(600,600,-5,5,-5,5,
grid(1),
graph(600,600,-5,5,-5,5,log(2,x))
)}}}


If you meant {{{log(2x)}}}, (which really means {{{log(10,2x)}}}) then your graph should look like this:


{{{drawing(600,600,-5,5,-5,5,
grid(1),
graph(600,600,-5,5,-5,5,log(10,2x))
)}}}