What is the solution of log_{2x - 6} 256 = 4?

Solution:

Given log_{2x - 6} 256 = 4

Apply anti log on both sides

256 = (2x - 6)⁴

We know 256 = 4⁴

4⁴ = (2x - 6)⁴

Since the exponents are the same, the bases must also be the same.

4= 2x - 6

2x = 4 + 6

2x = 10

x = 5

Therefore, the solution for the given equation is 5.

What is the solution of log_{2x - 6} 256 = 4?

summary:

The solution of log_{2x - 6} 256 = 4 is 5.