Question

If $log_45=(log_4y)(log_6\sqrt5)$,then $y$ equals

Answer 1

$log_45=(log_4y)(log_6\sqrt5)$

$⇒ \frac{log_45}{log_6\sqrt5} = log_4y$

$⇒ log_45×log_6\sqrt5 = log_4y$

$⇒ 2(log_45)(log_56) = (log_4y)$

$⇒ 2log_46 = log_4y$

$⇒ log_46^2 = log_4y$

$⇒ log_436 = log_4y$

$⇒ y = 36$