Evaluate the logarithm.

\log_61296

1 answer

Using the change of base formula for logarithms, we have:

\log_6 1296 = \frac{\log_{10}1296}{\log_{10}6}

Using a calculator to find the logarithms, we get:

\log_{10}1296 ≈ 3.11
\log_{10}6 ≈ 0.778

Therefore, \log_6 1296 ≈ \frac{3.11}{0.778} ≈ 3.99.

Thus, the value of \log_6 1296 is approximately 3.99.