Which of the following statements is not correct ? (M.B.A., 2003)
(a)$\log_{10}10=1$
(b)$\log(2+3)=\log(2\times 3)$
(c)$\log_{10}1=0$
(d)$\log(1+2+3)=\log 1+\log 2+\log 3$
Answer
Answer (as printed): B
Explanation
(a) Since $\log_{a}a=1$, so $\log_{10}10=1$. (b) $\log(2+3)=5$ and $\log(2\times 3)=\log 6=\log 2+\log 3$. So $\log(2+3)\neq \log(2\times 3)$. (c) Since $\log_{a}1=0$, so $\log_{10}1=0$. (d) $\log(1+2+3)=\log 6=\log(1\times 2\times 3)=\log 1+\log 2+\log 3$. So, (b) is incorrect.
Explanation as extracted from the printed page; notation may be imperfect.