COMEDK · Maths · 1. Basic of Mathematics
The value of \(2^{\log _2 3} \cdot 3^{\log _3 2}\) is
- A 2
- B 3
- C 6
- D 4
Answer & Solution
Correct Answer
(C) 6
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & 2^{\log _2 3} \cdot 3^{\log _3 2} \\ = & 3^{\log _2 2} \cdot 2^{\log _3 3} \left[\because a \log _b c=c \log _b a\right] \\ = & 3 \cdot 2 \left[\because \log _a a=1\right] \\ = & 6 \end{aligned}\)
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