Question

What is the solution of `log_(3x-2)125 = 3`?

Answer 1

`x=7/3`

Explanation:

`if log_a b=x;" then "b=a^x`

`log_(3x-2)125=3`

`125=(3x-2)^3`

`5^3=(3x-2)^3`

`5=3x-2`

`3x=5+2`

`3x=7`

`x=7/3`