Desenvolver as expressões abaixo aplicando as propriedades dos logaritmos.
a)
$\;log_{{}_{\Large \,5\,}}(\dfrac{\,5a\,}{bc})\,$
b)
$\;log_{{}_{\Large \,3\,}}(\dfrac{\,ab^2\,}{c})\,$
c)
$\;log_{{}_{\Large \,2\,}}\left(\dfrac{\,a^2\,\sqrt{\,b\,}\,}{\sqrt[\large \,3\,]{\,c\,}} \right) $
d)
$\;log_{{}_{\Large \,3\,}}\left(\dfrac{\,a\,\centerdot\,b^3\,}{c\,\centerdot\,\sqrt[\large \,3\,]{\,a^2\,}}\right)\,$
e)
$\;log\sqrt{\dfrac{\,ab^3\,}{c^2}}\,$
f)
$\;log_{{}_{\Large \,3\,}}\sqrt[\Large 3\,]{\dfrac{\,a\,}{\,b^2\,\centerdot\,\sqrt{\,c\,}}}\,$
g)
$\;log_{{}_{\Large \,2\,}}\sqrt{\dfrac{\,4a\,\sqrt{\,ab\,}}{\,b\;\sqrt[\Large 3\,]{\,a^2b\,}}}\,$
h)
$\;log\,\left(\sqrt[\LARGE 3\,]{\dfrac{\,a^{\large 4}\,\sqrt{\,ab\,}}{\,b^2\;\sqrt[\Large 3\,]{\,bc\,}}}\right)^{\Large 2}\,$