Question

How do you solve `5^( 3x + 1) = 125^( 2x - 3)`?

Answer 1

`x=10/3 =3 1/3`

Explanation:

`5^(3x+1) = 125 ^(2x-3) or 5^(3x+1) = 5 ^(3(2x-3))`or

`3x +1 = 3(2x-3) or 3x +1 = 6x -9 or 6x -3x =9+1 or 3x = 10`

or `x=10/3 =3 1/3` [Ans]