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If $${\log _{10}}125 + {\log _{10}}8 = x,$$ then x is equal to -
Answer & Solution
Correct Answer:
Option
D
$$\eqalign{
& {\log _{10}}125 + {\log _{10}}8 = x \cr
& \Rightarrow {\log _{10}}\left( {125 \times 8} \right) = x \cr
& \Rightarrow x = {\log _{10}}\left( {1000} \right) \cr
& \Rightarrow x = {\log _{10}}{\left( {10} \right)^3} \cr
& \Rightarrow x = 3{\log _{10}}10 \cr
& \Rightarrow x = 3 \cr} $$
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