Question
If log10 2 = 0.3010, the value of log10 80 is:
Answer: Option B
$$\eqalign{
& {\log _{10}}80 \cr
& = {\log _{10}}\left( {8 \times 10} \right) \cr
& = {\log _{10}}8 + {\log _{10}}10 \cr
& = {\log _{10}}\left( {{2^3}} \right) + 1 \cr
& = 3{\log _{10}}2 + 1 \cr
& = \left( {3 \times 0.3010} \right) + 1 \cr
& = 1.9030 \cr} $$
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$$\eqalign{
& {\log _{10}}80 \cr
& = {\log _{10}}\left( {8 \times 10} \right) \cr
& = {\log _{10}}8 + {\log _{10}}10 \cr
& = {\log _{10}}\left( {{2^3}} \right) + 1 \cr
& = 3{\log _{10}}2 + 1 \cr
& = \left( {3 \times 0.3010} \right) + 1 \cr
& = 1.9030 \cr} $$
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