Question

How do you solve this exponential equation?

`5^(2x+2)=1/625`

Answer 1

Recall that `625 = 5^(3)`.

`5^(2x + 2) = 5^-3`

Since we're in equal bases, we can eliminate and solve.

`2x + 2 = -3`

`2x = -5`

`x = -5/2`

Hopefully this helps!