Question

(〖log〗_5 18+〖log〗_5 8)/(〖log〗_5 4-2〖log〗_5 (1/√3) )
deje la imagen abajo por si no entienden

Answer 1

$Hola \\ \\ \frac{log_518+log_58}{log_54-2log_5 \frac{1}{ \sqrt{3} } } \\ \\ \underline{resoluci\acute{o}n~} \\ \\ \frac{log_5(18.8)}{log_5\bigg( \frac{4}{ \frac{1}{3} }\bigg) } \\ \\ \frac{log_5(144)}{log_512} \\ \\ log_{12}144 \\ \\ log_{12}(12)\²$

$2\underbrace{log_{12}12}_{1} \\ \\ 2.1 \\ \\ \boxed{\boxed{2} } \\ \\ por~tanto: \\ \\ \boxed{\frac{log_518+log_58}{log_54-2log_5 \frac{1}{ \sqrt{3} } } =2} \\ \\ =================================\\ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Espero~te~sirva~saludos!!$