Question

find the value

logbase 5√625​

Answer 1

log base 5 625 = 4 ( 5*5*5*5 = 625)
And since its
$\sqrt{625}$
IT WILL BE
$\sqrt{4 }$
THEREFORE, log base 5
$\sqrt{625}$
is 2.

Answer 2

$log_{5}( \sqrt{625} ) \\ = log_{5}(25) \\ = log_{5}( {5}^{2} ) \\ = 2 log_{5}(5 ) \\ = 2 \times 1 \\ = 2 \: \:ans$

hope it will help you