Question
The value of $${\text{lo}}{{\text{g}}_{10}}\left( {0.0001} \right)$$ is = ?
Answer: Option C
$$\eqalign{
& {\text{lo}}{{\text{g}}_{10}}\left( {0.0001} \right)\, \cr
& = {\text{lo}}{{\text{g}}_{10}}\left( {\frac{1}{{10000}}} \right) \cr
& \, = {\text{lo}}{{\text{g}}_{10}}\left( {\frac{1}{{{{10}^4}}}} \right) \cr
& \, = {\text{lo}}{{\text{g}}_{10}}{10^{ - 4}} \cr
& \, = - 4\,{\text{lo}}{{\text{g}}_{10}}10 \cr
& = - 4{\text{ }} \cr} $$
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$$\eqalign{
& {\text{lo}}{{\text{g}}_{10}}\left( {0.0001} \right)\, \cr
& = {\text{lo}}{{\text{g}}_{10}}\left( {\frac{1}{{10000}}} \right) \cr
& \, = {\text{lo}}{{\text{g}}_{10}}\left( {\frac{1}{{{{10}^4}}}} \right) \cr
& \, = {\text{lo}}{{\text{g}}_{10}}{10^{ - 4}} \cr
& \, = - 4\,{\text{lo}}{{\text{g}}_{10}}10 \cr
& = - 4{\text{ }} \cr} $$
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