how to evaluate logarithms ♡

we have the logarithm identities

worked example: evaluate $lo g_{2} (4) - lo g_{2} (8^{0})$
$lo g_{2} (4) - lo g_{2} (1)$
$lo g_{2} (4) - 0$
$2$

worked example: evaluate $\frac{lo g _{2} ( 25 )}{lo g _{2} ( 5 )}$
$lo g_{5} (25)$
$2$

worked example: evaluate $\frac{1}{lo g _{9} ( 3 )}$
$lo g_{3} (9)$
$2$

wiki ♡