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NDA 2012

Exam: NDA
Year: 2012
Subject: Mathematics
Chapter: Basics of Mathematics

NDA 2012 · Mathematics · Basics of Mathematics

If ( _3 x)( _x 2 x)( _ 2 x y)= _x x^2 , then what is y equal to?

If

\left(\log _3 x\right)\left(\log _x 2 x\right)\left(\log _{2 x} y\right)=\log _x x^2

, then what is

y

equal to?

Options

A $4.5$
B $9$
C $18$
D $27$

Correct answer

B. $9$

Step-by-step solution

\begin{aligned} & \frac{\log x}{\log 3} \cdot \frac{\log 2 x}{\log x} \cdot \frac{\log y}{\log 2 x}=2 \\ & \therefore \log _3 y=2\end{aligned}

\Rightarrow \quad y=9$.

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