Evaluate the following multi-term logarithmic expression completely without the use…

MATHEMATICS · Subjective · A Level · Mathematics · Exponentials and logarithms · Exponentials and logarithms

Problem

Evaluate the following multi-term logarithmic expression completely without the use of a calculator:

\log_6 \left( 5 \sqrt{\frac{1296}{75}} \right) + \frac{1}{2} \log_{36}(9)