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Properties of Logs

log1. Evaluate each of the following expressions using the propeties of logs (and no calculator)

log_{3}\sqrt[3]{81}=log_{3}\left ( 81 \right )^{\frac{1}{3}}=log_{3}\left ( 3^{4} \right )^{\frac{1}{3}}=log_{3}3^{\frac{4}{3}}=\frac{4}{3}\cdot log_{3}3=\frac{4}{3} Read the rest of this entry »