Logarithms

This topic focuses on practicing the product property of logarithms to convert the logarithm of a product into a sum of logarithms involving variables. The problems require converting expressions like \(\log_x(pw)\) into forms such as \(\log_x p + \log_x w\), in line with the logarithmic identity \(\log_b(xy) = \log_b x + \log_b y\). Each question gives a logarithmic expression involving a multiplication inside the log function, and students must select the correct transformed expression based on the product property. This forms part of an introductory unit on logarithmic functions.