5 * {125}^(x) = {5}^(2x - 2) ​

Question

`5 * {125}^(x) = {5}^(2x - 2)`
​

Answer 1

x=-3

Step-by-step explanation:

`5 * {125}^(x) = {5}^(2x - 2)`

`5 * { ({5}^(3)) }^(x) = {5}^(2x) * {5}^( - 2)`

`5 * {5}^(3x) = {5}^(2x) * {5}^( - 2)`

`\frac{ {5}^(3x) }{ {5}^(2x) } = \frac{ {5}^( - 2) }{ {5}^(1) }`

`{5}^(x) = {5}^( - 3)`

`x = - 3`