Question

expand the logarithmic expression. $log_{8}3xy = square$

Explanation:

Step1: Apply product rule of logs

$\log_b(ac) = \log_b a + \log_b c$
$\log_8(3xy) = \log_8 3 + \log_8(xy)$

Step2: Apply product rule again

$\log_8(xy) = \log_8 x + \log_8 y$
$\log_8(3xy) = \log_8 3 + \log_8 x + \log_8 y$

Answer:

$\log_8 3 + \log_8 x + \log_8 y$