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

NDA 2012 · Mathematics · Basics of Mathematics

What is the value of 2 _8 2-(1)/(3) _3 9 ?

What is the value of 2log⁡82−13log⁡392 \log _8 2-\frac{1}{3} \log _3 9 ?

Options

  1. A0
  2. B1
  3. C2
  4. D1/3

Correct answer

A. 0

Step-by-step solution

2. log⁡2log⁡8−13⋅log⁡9log⁡32.log⁡2log⁡23−13⋅log⁡32log⁡32.log⁡23⋅log⁡2−132⋅log⁡3log⁡323−23=0\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.
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