Question

mim ajude por favor e trabalho para amanha log5 (0,000064)

Answer 1

$E=\mathrm{\ell og}_{5\,}(0,000064)\\ \\ E=\mathrm{\ell og}_{5\,}(64\cdot 10^{-6})\\ \\ E=\mathrm{\ell og}_{5\,}[2^{6}\cdot 10^{-6}]\\ \\ E=\mathrm{\ell og}_{5\,}[2^{6}\cdot (2\cdot 5)^{-6}]\\ \\ E=\mathrm{\ell og}_{5\,}[2^{6}\cdot 2^{-6}\cdot 5^{-6}]\\ \\ E=\mathrm{\ell og}_{5\,}[2^{6-6}\cdot 5^{-6}]\\ \\ E=\mathrm{\ell og}_{5\,}[2^{0}\cdot 5^{-6}]\\ \\ E=\mathrm{\ell og}_{5\,}[1\cdot 5^{-6}]\\ \\ E=\mathrm{\ell og}_{5\,}[5^{-6}]\\ \\ E=-6\mathrm{\,\ell og}_{5\,}5\\ \\ E=-6\cdot 1\\ \\ E=-6\\ \\ \\ \Rightarrow\;\;\boxed{ \begin{array}{c} \mathrm{\ell og}_{5\,}(0,000064)=-6 \end{array} }$