The equation to solve is:
[tex] log_{(3x-2)} 4096 = 3[/tex]
Applying logarithm properties that transforms into:
[tex] (3x-2)^{3} =4096[/tex]
That is expanded to:
[tex]27 x^{3} -5 x^{2} +36x-4104=0[/tex]
When you solve that equation you get one real solution, which is x = 6.
Answer: x = 6
