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1. If log₁₀ 2 = 0.3010, the value of log₁₀ 80 is:

A. 1.6020

B. 1.9030

C. 3.9030

D. None of these

Solution:

\begin{aligned} \log_{10} 80 \\ = \log_{10} (8 \times 10) \\ = \log_{10} 8 + \log_{10} 10 \\ = \log_{10} (2^{3}) + 1 \\ = 3 \log_{10} 2 + 1 \\ = (3 \times 0.3010) + 1 \\ = 1.9030 \end{aligned}

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