# 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 = 4^{4}

4^{4} = (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.

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