# What is the solution of log_{4x - 10}32 = 5?

**Solution:**

Logarithm is nothing but another way of expressing exponents and can be used to solve problems that cannot be solved using the concept of exponents only.

Given that:

log_{4x - 10}32 = 5

Apply anti-log on both sides

(4x - 10)^{5} = 32

(4x - 10)^{5 }= 32

(4x - 10)^{5 }= (2)^{5}

If the exponents are equal, bases must be equal

4x - 10 = 2

4x = 12

x = 3

## What is the solution of log_{4x - 10}32 = 5?

**Summary:**

The solution of log_{4x - 10}32 = 5 is x = 3

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