Question

Solve the following equations
5^2x-2(5^x)-15=0

Answer 1

x = 1

Explanation:

`{5}^(2x) - 2( {5}^(x) ) - 15 = 0`

`( {5}^(x) {)}^(2) - 2 * {5}^(x) - 15 = 0`

`{t}^(2) - 2t - 15 = 0`

`{5}^(x) t = - 3 \: \: .5`

`{5}^(x) = 5`

`x = 1`