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If $$\log x - 5\log 3 = - 2,$$     then x equals -

A. 0.8

B. 0.81

C. 1.25

D. 2.43

Answer: Option D

Solution(By Examveda Team)

$$\eqalign{ & \log x - 5\log 3 = - 2 \cr & \Rightarrow \log x - \log {3^5} = - 2 \cr & \Rightarrow \log \left( {\frac{x}{{{3^5}}}} \right) = - 2 \cr & \Rightarrow \frac{x}{{243}} = {10^{ - 2}} = \frac{1}{{100}} \cr & \Rightarrow x = \frac{{243}}{{100}} = 2.43 \cr} $$

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