What is the solution of log_{3x - 2} 4096 = 3?

Solution: 

Given equation is log_{3x - 2} 4096 = 3

Convert the given log function to an exponential function.

We know that if logₐx = b then a^b = x

⇒ (3x - 2)³ = 4096

⇒ 3x - 2 = 16

⇒ 3x = 18

⇒ x = 6

What is the solution of log_{3x - 2} 4096 = 3?

Summary:

The solution of log_{3x - 2} 4096 = 3 is x = 6.