Question

me ajudem a calcular

Answer 1

B) $Log_{\frac{1}{5} } 125 = x$

$(\frac{1}{5})^{x} = 125$

$5^{-x} = 5^{3}$

-x = 3 (-1) -------> x = 3

C) $Log_{4} \sqrt[2]{32} = x$

$4^x= 32^{\frac{1}{2}$

$(2^{2})^{x} = 2^{5}$

$2^{2x} = 2^{5}$

2x = 5

$x = \frac{5}{2}$

D) $Log_{\frac{2}{3} } \frac{8}{27} = x$

$(\frac{2}{3} )^{x} = \frac{8}{27}$

$(\frac{2}{3})^{x} = \frac{2^{3}}{3^{3} }$

$(\frac{2}{3})^{x} = (\frac{2}{3})^{3}$

x = 3