which expression is equivalent to $log_2{9x^3}$?\n$log_2{9}+3log_2{x}$\n$log_2{x}+3log_2{9}$\n$3log_2{x}-log_…
which expression is equivalent to $log_2{9x^3}$?\n$log_2{9}+3log_2{x}$\n$log_2{x}+3log_2{9}$\n$3log_2{x}-log_2{9}$\n$3log_2{9}-log_2{x}$
Answer
Answer:
A. $\log_2{9}+3\log_2{x}$
Explanation:
Step1: Apply log - product rule
$\log_2{9x^3}=\log_2{9}+\log_2{x^3}$
Step2: Apply log - power rule
$\log_2{x^3}=3\log_2{x}$, so $\log_2{9x^3}=\log_2{9}+3\log_2{x}$