e^3x-7 x e^-2x =4e

Question

First step I get e^1x-7 =4e
For the example in my book, the next step they divided by e. But I have no idea how to do this, or what involves?

Answer 1

You have to apply the indices rule: a^m /a^n= a^(m-n)
so e^(x-7)/e^1= e^(x-8). We then get: e^(x-8)=4 Use ln: x-8= ln4 so x=8+ln4
OK?