1) Expand out the logarithmic expressions as much as possible. a) \( \ln \left(3 x^{5}\right) \) b) \( \ln \left(x y^{6}\right) \)

\begin{tabular}{l} Find the common logarithm of 0.0524. \\ \hline \\ \( \quad \log 0.0524=\square \) \\ (Round to four decimal places as needed.) \end{tabular}

Simplify. Rationalize the denominator. \( \frac{-3}{\sqrt{7}+\sqrt{2}} \)

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b) \( \frac{-\frac{1}{2}+1}{\frac{2}{3}-2}= \)

Simplify. Rationalize the denominator. \( \frac{-6}{\sqrt{3}-\sqrt{5}} \)