# What is the solution of log_{3x - 2}125 = 3?

**Solution:**

Given equation:

log_{3x - 2}125 = 3

Apply anti-log on both sides

125 = (3x - 2)^{3}

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

If the __exponents__ are equal, bases must be equal

5 = 3x - 2

5 + 2 = 3x

7 = 3x

x = 7/3

## What is the solution of log_{3x - 2}125 = 3?

**Summary:**

The solution of log_{3x - 2}125 = 3 is x = 7/3

Math worksheets and

visual curriculum

visual curriculum