Question

How do you solve `(-5)^(2x)=625`?

Answer 1

`x=2`

Explanation:

`(-5)^(2x) = 625`

`((-5)^2)^x = 5^4`

`(5^2)^x = 5^4`

`5^(2x) = 5^4`

Equating indices `-> 2x=4`

`:. x=2`