Answer
$2$ $log$ ${a}$ + $3$ $log$ ${b}$ - $4$ $log$ ${c}$
Work Step by Step
Use the Quotient Property of Logarithms. According to this property, $log_b$ ${m}$ - $log_b$ ${n}$ = $log_b$ $\frac {m}{n}$:
$log$ ${a^{2}b^{3}}$ - $log$ ${c^{4}}$
Use the Product Property of Logarithms. According to this property, $log_b$ ${mn}$ = $log_b$ ${m}$ + $log_b$ ${n}$:
$log$ ${a^{2}}$ + $log$ ${b^{3}}$ - $log$ ${c^{4}}$
Use the Power Property of Logarithms to rewrite this expression. The property states that $log_b$ ${m^n}$ = $n$ $log_b$ ${m}$:
$2$ $log$ ${a}$ + $3$ $log$ ${b}$ - $4$ $log$ ${c}$
