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