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Examveda

If $${\log _{10}}125 + {\log _{10}}8 = x,$$     then x is equal to -

A. $$\frac{1}{3}$$

B. 0.064

C. -3

D. 3

Answer: Option D

Solution(By Examveda Team)

$$\eqalign{ & {\log _{10}}125 + {\log _{10}}8 = x \cr & \Rightarrow {\log _{10}}\left( {125 \times 8} \right) = x \cr & \Rightarrow x = {\log _{10}}\left( {1000} \right) \cr & \Rightarrow x = {\log _{10}}{\left( {10} \right)^3} \cr & \Rightarrow x = 3{\log _{10}}10 \cr & \Rightarrow x = 3. \cr} $$

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