What is the value of {\log_{27} 9 \times \log_{16}64}/{\log_4 \sqrt2} ?

Symbiosis National Aptitude Test SNAP 2013 Paper

Question : 31 of 150

Marks: +1, -0

What is the value of

{\log_{27} 9 × \log_{16}64}/{\log_4 √2}

Solution:

The given logarithm expression

{\log_{27} 9 × \log_{16}64}/{\log_4 √2}

is simplified as :

{\log 9}/{\log 27} × {\log 64}/{\log 16} × {\log 4}/{\log √2}

{2 \log 3}/{3 log3} × {6\log2}/{4\log2}×{2\log2}/{1/2 \log 2}

2/3×6/4×4

= 4

Go to Question:

Prev Question

Next Question