Question

Solve the equation by expressing each side as a power of the same base.

e^x+9=1/e^7
a. 16 b. -2 c. 2 d. -16

Answer 1

I think you mean:\[e^{x+9}=\frac{1}{e^7}\]
Now remember this rule:\[\frac{1}{a^b}=a^{-b}\]

Answer 2

Thats exactly the problem but I was never taught a rule?

Answer 3

Its just solving logarithmic equation using same base

Answer 4

You're taught now...
so:\[e^{x+9}=e^{-7} \Leftrightarrow x+9 = -7\]Solve it to find x.