Question

If $\log _3 2=x$, then following steps are involved in finding the value of $\frac{\log _{12} 36}{\log _{12} 3}$ in terms of $x$. Arrange them in correct order. (A) $\log _3 36$ (B) $\log _3 9+\log _3 4$ (C) $2+2 x$ (D) $2 \log _3 3+2 \log _3 2$

• A. $ABCD$
• B. $BADC$
• C. $ABDC$
• D. $ADBC$

Answer 1

Answer: (C)

$\frac{\log _{12} 36}{\log _{12} 3}=\log _3 36=\log _3 9+\log _3 4 $
$=2 \log _3 3+2 \log _3 2 $
$=2+2 x$
$\triangle$ The required sequential order is $ABDC$.