Solve the logarithmic equation. Round the answer to three decimal places if necessary.

Question

log₁₂4x = log₁₂52

Answer 1

In this question you have the form of Log_bx = y where b =12. This is the same as writing 12^y=x. With this identity, you can cancel out the log₁₂4x by making them the exponents of the base, which is b=12.

log₁₂4x = log₁₂52 => 12^(log12(4x)) = 12^(log12(52)) => 4x = 52

In this case X = 52/4 or 13.

Answer 2

4x=52

x=13