ln e ^x - ln e^2 = ln e^7

First, let's recall the property that ln e 
=1.

Now, we'll use the power property of logarithms, so
that:

ln e^2 = 2ln e  =2

ln
e^7 = 7ln e = 7

 ln e ^x = xln e =
x

Now, we'll re-write the
equation:

x - 2 = 7

We'll add
2 both sides:

x =
7+2

x =
9