Question

1) Resolva as equações exponenciais:
$( \frac{1}{5} ) {}^{x} = 625$
$0. {6}^{x} = \frac{5}{3}$

Answer 1

que $( \frac{1}{5}) {}^{x} = 625 \\ (\frac{1}{5} {}^{x}) = 5 {}^{4} \\ (5 {}^{ - x}) = 5 {}^{4} \\ - x = 4 \\ x = - 4$

0.6{}^{x} = \frac{5}{3}
\frac{3}{5}{}^{x} = \frac{5}{3}
\frac{3}{5}{}^{x} = \frac{3}{5}{}^{-1}
x=-1