If log 3 = A and log 7 = B, find log7 (9) in terms of A and B.

Use properties of logarithms to rewrite each function, and describe how the graph of the given function compares to the graph of g(x) = ln x. ƒ(x) = ln(e²x)

In Exercises 125–128, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement.

$\frac{lo{g}_{7}49}{lo{g}_{7}7}=lo{g}_{7}49-lo{g}_{7}7$

In Exercises 125–128, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement.

$lo{g}_b(x^3+y^3)=3lo{g}_{b}x+3lo{g}_{b}y$

In Exercises 125–128, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement.

log_b (xy)⁵ = (log_b x + log_b y)⁵

Write the log expression as a single log.

$\(\log\)_2\(\frac{1}{9x}\)+2\(\log\)_23x$

Write the log expression as a single log.

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

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

$\(\log\)_3\(\left\)(\(\frac{\sqrt{x}\)}{9y^2}\(\right\))$

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

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