Question

Logaritmo 0000128 com a base 0,008

Answer 1

$\log_{0,008} 0,0000128 = x \\ \\ \log_{\frac{8}{1.000}} \frac{128}{10.000.000} = x \\ \\ (\frac{8}{1.000})^x=\frac{128}{10.000.000} \\ \\ (\frac{2^3}{10^3})^x=\frac{2^7}{10^7} \\ \\ (\frac{2}{10})^{3x}=(\frac{2}{10})^7 \\ \\ 3x=7 \\ \\ x=\frac{7}{3}$