Question

o valor de log 125 na base 0,04 é igual a

Answer 1

$log_{0,04}125=x \rightarrow (0,04)^x=125 \\ \\ (\frac{1}{5})^{2x}=(\frac{1}{5})^{-3} \\ \\ \boxed{x=\frac{-3}{2}}$

Answer 2

$log_{0,04}125=x\\0,04^x=125\\ (\frac{4}{100} )^x=5^3\\ (\frac{1}{25}) ^x=5^3\\(5^{-2})^x=5^3\\-2x=3\\x=-3/2$