Write the expression as a logarithm of a single expression. Assume that variables represent positive numbers. \( \ln (x)-\ln (16) \) Submit Question

Using the properties of logarithms, specifically the quotient rule, you can combine the two logarithmic expressions into a single logarithm. The expression you provided, \( \ln (x) - \ln (16) \), can be rewritten as \( \ln \left( \frac{x}{16} \right) \). So, there you have it – a tidy little package of logarithmic goodness! Imagine this in a real-world scenario: if you were measuring something like population growth or chemical reactions, converting those logarithmic differences into a single log expression can simplify your calculations significantly. It allows you to focus on the ratio of interests rather than dealing with multiple terms separately!