What is the solution of log_{4x - 6}16 = 4?

Solution:

Given expression:

log_{4x - 6}16 = 4

Apply anti-log on both sides

16 = (4x - 6)⁴

2⁴ = (4x - 6)⁴

If the exponents are equal, bases must be equal

2 = 4x - 6

2 + 6 = 4x

8 = 4x

x = 2

What is the solution of log_{4x - 6}16 = 4?

Summary:

The solution of log_{4x - 6}16 = 4 is x = 2.