0. Functions

Write the single logarithm as a sum or difference of logs.

$\(\log\)_5\(\left\)(\(\frac{5\left(2x+3\right)^2}{x^3}\]\right\))$

Explain why or why not Determine whether the following statements are true and give an explanation or counterexample.

c. ln xy = (ln x)(ln y)

Evaluate the given logarithm.

$\(\log\)_9\(\frac{1}{81}\)$

Write the log expression as a single log.

$\(\ln\]\frac{3x}{y}\)+2\(\ln\)2y-\(\ln\)4x$