Thread: Question about e^2x graph

Use a graph produced by your calculator to estima the values of for which is smaller than . Also, describe clearly and accurately the purpose of each needed step.

This is what I tried but I am totally lost because I can't figure out how to approach this:


I could take the 4th root of both sides but I can't isolate . Not too sure how to solve this question.

But beside the excercice you need the graphs of the functions, so have you tried to solve this exercice with the calculator? ...

Try where are the zeros?

Originally Posted by freestar

Use a graph produced by your calculator to estima the values of for which is smaller than . Also, describe clearly and accurately the purpose of each needed step.

This is what I tried but I am totally lost because I can't figure out how to approach this:


I could take the 4th root of both sides but I can't isolate . Not too sure how to solve this question.

It says use a calculator for that reason - plot both graphs on the same axes and pick the appropriate values.

You know that and that the points (0,8^4) and (8,0) lie on it.
You know that has the x-axis as an asymptote and the point (0,1) lies on it.

Here is the wolfram plot, I have limited the domain to make it easier to see: plot {y=e^(2x),y=(x-8)^4} between 0 and 5 - Wolfram|Alpha

Originally Posted by e^(i*pi)

It says use a calculator for that reason - plot both graphs on the same axes and pick the appropriate values.

You know that and that the points (0,8^4) and (8,0) lie on it.
You know that has the x-axis as an asymptote and the point (0,1) lies on it.

Here is the wolfram plot, I have limited the domain to make it easier to see: http://www.wolframalpha.com/input/?i=plot+{y%3De^%282x%29%2Cy%3D%28x-8%29^4}+between+0+and+5

So in that case, ?

Correct!

Originally Posted by freestar

So in that case, ?

I'd say so, it agrees with the general value of the plot and I assume your calculator spat it out