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1. The value of $lo g_{10} (0.0001)$ is = ?

A. $\frac{1}{4}$

B. $- \frac{1}{4}$

C. $- 4$

D. $4$

Solution:

\begin{aligned} lo g_{10} (0.0001) \\ = lo g_{10} (\frac{1}{10000}) \\ = lo g_{10} (\frac{1}{10^{4}}) \\ = lo g_{10} 10^{- 4} \\ = - 4 lo g_{10} 10 \\ = - 4 \end{aligned}

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