Q246 / 270 · NDA 2012 (Phase 1) · Mathematics

What is the value of $2 \log _8 2-\frac{1}{3} \log _3 9$ ?

  • Correct answer
    A
    0
  • B
    1
  • C
    2
  • D
    1/3

Solution

2. $\frac{\log 2}{\log 8}-\frac{1}{3} \cdot \frac{\log 9}{\log 3}$ 2. $\frac{\log 2}{\log 2^3}-\frac{1}{3} \cdot \frac{\log 3^2}{\log 3}$ 2. $\frac{\log 2}{3 \cdot \log 2}-\frac{1}{3} 2 \cdot \frac{\log 3}{\log 3}$ $\frac{2}{3}-\frac{2}{3}=0$.

Hence, the correct answer is option: 'A'.

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