What is the solution of log_{2x - 4}16 = 4?

Solution:

Given expression is log_{2x - 4}16 = 4

Apply anti-log on both sides

16 = (2x - 4)⁴

2⁴ = (2x - 4)⁴

If the exponents are equal, bases must be equal

2 = 2x - 4

2x = 4 + 2

2x = 6

x = 3

Therefore, the solution of log_{2x - 4}16 = 4 is x = 3.

What is the solution of log_{2x - 4}16 = 4?

Summary:

The solution for log_{2x - 4}16 = 4 is 3.