Question

Help the question is asking to solve for x

Answer 1

x=8

Explanation:

All we need to do is to make the bases equal. We know 625=25² so we apply that to the equation:

`{25}^(3x + 2) = {25}^(2(2x - 3) ) \\ {25}^(3x + 2) = {25}^(4x - 6)`

Now that the bases are equal, we can set the exponents equal too.

`3x + 2 = 4x - 6 \\ 3x - 4x = - 6 - 2 \\ - x = - 8 \\ x = 8`

Hope this helps!