Question

Log in baza 1/radical din 5 din radical din 125

Answer 1

$log_ \frac{1}{ \sqrt{5}} \sqrt{125}$

$\sqrt{125} = 125^{ \frac{1}{2} } = 5^{ \frac{3}{2} }$
$\frac{1}{ \sqrt{5} } = \frac{1}{ 5^{ \frac{1}{2} } } = 5^{- \frac{1}{2} }$

$log_{a^{b}} c^d$  = $d * \frac{1}{b}  log_a c$ Deci vom avea 
$\frac{3}{2} *(-2) log_5 5$ = -3