Question

Determine o valor do logaritmo

Answer 1

$log _{a} ^{ \frac{a ^{3}b \sqrt{b} }{c ^{2} } } \\ \\ log _{a} ^{a ^{3} } +log _{a} ^{b \sqrt{b} } -log _{a} ^{c ^{2} } \\ \\ 3 log _{a} ^{a} }+log _{a} ^{ \sqrt{b ^{3} } } -2log _{a} ^{c } \\ \\ 3.1+log _{a} ^{ b ^{ \frac{3}{2} }} -2.(-2)$
$3+ \frac{3}{2}log _{a} ^{b}+4 \\ \\ 3+ \frac{3}{2}.4+4 \\ 3 + 6+4 = 13$