What is the solution of log_{3x + 4}125 = 3?

Solution:

Given equation:

log_{3x + 4}125 = 3

Apply anti-log on both sides

125 = (3x + 4)³

5³ = (3x + 4)³

If the exponents are equal, bases must be equal

5 = 3x + 4

5 - 4 = 3x

1 = 3x

x = 1/3

What is the solution of log_{3x + 4}125 = 3?

Summary:

The solution of log_{3x + 4}125 = 3 is x = 1/3.