Question

Calcule:
a) log³ 27 =
b) log $\frac{1}{5}$ 125 =

Answer 1

Explicação passo-a-passo:

a)

$\log_327=x\\\\ 3^x=27\\ \\ 3^x=3^3\\ \\cancela ~~base \\ \\ x=3\\ \\ \fbox{ \log_327=3 }$

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b)

$\log{1\over5}25=x\\ \\ ({1\over5})^x=125\\ \\ 5^{-x}=5^3\\ \\ -x=3\\ \\ x=-3\\ \\ \\\fbox{ \log{1\over5}125=-3 }$