Question 70478
Help is needed.
For the exponential function ex and logarithmic function log x, graphically show the effect if x is doubled. 
f(x)=e^x looks like this:
{{{graph(300,200,-10,10,-10,10,2.718281828^x)}}}
If you doubled x it would make your graph grow exponentially by 2.  e is about 2.71828, so at x=1, the graph would normally be about 2.71828 and when x=2 y would be about 7.389.  If x is doubled, at x=1 y would be about 7.389 and x = 2 would cause the graph to be about 54.5982.
Here are the two graphs graphed together:
{{{graph(300,200,-10,10,-10,10,2.718281828^x,2.7182812828^(2x))}}} 
f(x)=ln(x)  looks like this:
{{{graph(300,200,-10,10,-10,10,ln(x))}}}
For this graph is x was doubled, there is less of a dramatic change in y.  In the original graph when x=2.718 y is about 1.  When x is bout 7.389, y is about 2.  If you only double x, the change of y would be less than 1.
Here are the two graphs graphed together.
{{{graph(300,200,-10,10,-10,10,ln(x),ln(2*x))}}}
f(x)=e^x and f(x)=ln(x) are inverse functions, so they are reflections about the line y=x.  I will graph the two functions and y=x so you can see what I mean:
{{{graph(300,200,-10,10,-10,10,2.718281828^x,ln(x),x)}}}
I'm sorry I didn't read the directions thoroughly before.  I hope this is clearer.
Happy Calculating!!!!