How do you expand $log_7(sqrt x^3 /y)$ ?

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Answer 1 · 2016-03-22T20:57:58

$log_7(sqrtx^3 /y)$ $=3/2 log_7 x-log_7y$

$log_7(sqrtx^3 /y)$
$=log_7 sqrtx ^3 - log_7y$
$=log_7x^(3/2)-log_7y$
$=3/2 log_7 x-log_7y$ -> use property $log_bx^n=nlog_bx$

How do you expand log_7(sqrt x^3 /y)log_7(sqrt x^3 /y)?