Simplifying a Product of Logarithms with Different Bases

The Organic Chemistry Tutor

This video provides a step-by-step tutorial on how to evaluate a complex logarithmic expression involving the product of three logarithms with different bases. The narrator demonstrates how to solve the expression $(\log_{16} 27)(\log_{36} 32)(\log_{9} 216)$ without using a calculator. The method involves breaking down the composite numbers into prime bases with exponents and applying fundamental logarithmic properties to simplify the terms.