Question

Determine o logaritmo 1/5 125

Answer 1

Oi!

Propriedade:
$\boxed{log_b(a) = x <=> b^x = a}$

$log_{\frac{1}{5}}(125) = x \\ {(\frac{1}{5})}^{x} = 125 \\ {(\frac{1}{5})}^{x} = 5^3\\ {(\frac{1}{5})}^{x} = {(\frac{1}{5})}^{-3}\\ \\ \boxed{x = - 3}$

Bons estudos!