Question

How do you solve `2^ { x + 3} = 4^ { x - 1}`?

Answer 1

`x=5`

Explanation:

change the base number 4 to a power of 2.

`2^(x+3)=(2^2)^(x-1)`

`2^(x+3)=2^(2x-2)`

`=>x+3=2x-2`

`2x-x=3+2`

`x=5`