Examveda
Examveda

The value of $${\text{lo}}{{\text{g}}_{10}}\left( {0.0001} \right)$$   is = ?

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

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

C. $$ - 4$$

D. $$4$$

Answer: Option C

Solution(By Examveda Team)

$$\eqalign{ & {\text{lo}}{{\text{g}}_{10}}\left( {0.0001} \right)\, \cr & = {\text{lo}}{{\text{g}}_{10}}\left( {\frac{1}{{1000}}} \right) \cr & \, = {\text{lo}}{{\text{g}}_{10}}\left( {\frac{1}{{{{10}^4}}}} \right) \cr & \, = {\text{lo}}{{\text{g}}_{10}}{10^{ - 4}} \cr & \, = - 4\,{\text{lo}}{{\text{g}}_{10}}10 \cr & = - 4{\text{ }} \cr} $$

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