# Find log5(0.0016)

Question
Logarithms
Find $$\displaystyle{\log{{5}}}{\left({0.0016}\right)}$$

2021-03-09
$$\displaystyle{0.0016}=\frac{{16}}{{10}},{000}=\frac{{1}}{{625}}=\frac{{1}}{{54}}={5}-{4}$$
So $$\displaystyle{\log{{5}}}{\left({0.0016}\right)}=-{4}$$

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