Question

How do you solve `(e^4)^x * e^(x^2) = e^12`?

Answer 1

`e^(4x) xx e^(x^2) = e^12`

By the rule `a^n xx a^m = a^(n + m)`

`x^2 + 4x - 12 = 0`

`(x + 6)(x - 2) = 0`

`x = -6 and 2`

Hopefully this helps!