Simple exponential problems

Question 1

How to solve simple exponential problems?

Answer 1

Put them as the same base

Question 2

Example, how would you solve

8^x = 4^1-x

Answer 2

(2^3)^x = (2^2)^1-x
--> 2^3x = 2^2(1-x)
same base
Therefore 3x=2(1-x)
3x=2-2x
5x=2
x=2/5