Question
If $$\log x - 5\log 3 = - 2,$$ then x equals -
Answer: Option D
$$\eqalign{
& \log x - 5\log 3 = - 2 \cr
& \Rightarrow \log x - \log {3^5} = - 2 \cr
& \Rightarrow \log \left( {\frac{x}{{{3^5}}}} \right) = - 2 \cr
& \Rightarrow \frac{x}{{243}} = {10^{ - 2}} = \frac{1}{{100}} \cr
& \Rightarrow x = \frac{{243}}{{100}} = 2.43 \cr} $$
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$$\eqalign{
& \log x - 5\log 3 = - 2 \cr
& \Rightarrow \log x - \log {3^5} = - 2 \cr
& \Rightarrow \log \left( {\frac{x}{{{3^5}}}} \right) = - 2 \cr
& \Rightarrow \frac{x}{{243}} = {10^{ - 2}} = \frac{1}{{100}} \cr
& \Rightarrow x = \frac{{243}}{{100}} = 2.43 \cr} $$
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