What is the solution of log3x − 2 4096 = 3?

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Ncasale · Answer 1 · 2018-04-26T17:21:55+0000

The equation to solve is:

log_((3x-2)) 4096 = 3

Applying logarithm properties that transforms into:

(3x-2)^(3) =4096

That is expanded to:

27 x^(3) -5 x^(2) +36x-4104=0

When you solve that equation you get one real solution, which is x = 6.

Answer: x = 6