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A melhor resposta!
2014-08-04T17:12:01-03:00
E aí mano,

aplique a definição de logaritmos:

log_bc=k~\to~b^k=c\\\\
log_50,000064=x\\\\
veja~que~0,000064= \dfrac{64}{1000.000}= \dfrac{64\div64}{1000.000\div64}= \dfrac{1}{15.625}:\\\\
log_5 \dfrac{1}{15.625}=x\\\\
5^x= \dfrac{1}{15.625}\\\\
5^x= \dfrac{1}{5^6}\\\\
\not5^x=\not5^{-6}\\\\
\large\boxed{\boxed{x=-6}}

Tenha ótimos estudos =))
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