Question

Gente me ajudem nessas contas por favor


1- Log5x=3


2- Log4/3x=3


3- Log3/5x=-1

Answer 1

1) $log(5x)=3 \\ 10^{3} =5.x \\ 1000=5.x \\ x=200$

2) $log( \frac{4}{3x} )=3 \\ 10^{3} = \frac{4}{3x} \\ 3x= \frac{4}{1000} \\ x= \frac{4}{3000} \\ x=0,00133..$

3) $log( \frac{3}{5x} )=-1 \\ 10^{-1}= \frac{3}{5x} \\ 5x= \frac{3}{ 10^{-1} } \\ 5x=30 \\ x=6$

Answer 2

$log_{5}(x) = 3 \\ {5}^{3} = x \\ x = 125$

$log_{ \frac{4}{3} }(x) = 3 \\ \frac{4}{3}^{3} = x \\ x = \frac{64}{27}$

$log_{ \frac{3}{5} }(x) = - 1 \\ \frac{3}{5}^{ - 1} = x \\ \frac{5}{3^1} = x \\ x = \frac{5}{3}$