First, the nth term of L.H.S need to be defined by observing the pattern :-
It is log_{(2n)} 2.2^{n}
Given,
log_{2} 4 * log_{4} 8 * log_{8} 16 * ……………log_{(2n)} 2.2n = 49
Whenever solving a logarithm equation, generally one should approach towards making the base same.
Making the base 2:-
log_{2} 4 * * * .......
log_{(2n)} 2.2^{n} = 49
log_{(2n)} 2 + log_{(2n)} 2^{n} = 49
1 + n = 49
n = 48.
Correct Answer is (B). 48
Correct Answer: 48
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