which expression is equivalent to $log_{2}9x^{3}$?\n$3\\log_{2}9 - \\log_{2}x$\n$3\\log_{2}x…

which expression is equivalent to $log_{2}9x^{3}$?\n$3\\log_{2}9 - \\log_{2}x$\n$3\\log_{2}x - \\log_{2}9$\n$\\log_{2}9 + 3\\log_{2}x$\n$\\log_{3}x + 3\\log_{2}9$

which expression is equivalent to $log_{2}9x^{3}$?\n$3\\log_{2}9 - \\log_{2}x$\n$3\\log_{2}x - \\log_{2}9$\n$\\log_{2}9 + 3\\log_{2}x$\n$\\log_{3}x + 3\\log_{2}9$

Answer

Explanation:

Step1: Split log of product

$\log_2 9x^3 = \log_2 9 + \log_2 x^3$

Step2: Apply power rule to log term

$\log_2 x^3 = 3\log_2 x$

Step3: Substitute back to combine

$\log_2 9x^3 = \log_2 9 + 3\log_2 x$

Answer:

$\log_2 9 + 3\log_2 x$