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Home / Doubts and Solutions/JEE/Mathematics

log base24 48 in terms of alpha if logbase12 36=alpha

Asked by gs9716681907 6th August 2018, 12:06 AM
Answered by Expert
Answer:
begin mathsize 16px style log subscript 12 36 equals straight alpha 2 log subscript 12 6 equals straight alpha fraction numerator 1 over denominator 2 log subscript 6 12 end fraction equals straight alpha log subscript 6 12 equals 2 over straight alpha log subscript 6 2 equals 2 over straight alpha minus 1 log subscript 2 6 equals fraction numerator straight alpha over denominator 2 minus straight alpha end fraction log subscript 2 2 plus log subscript 2 3 equals fraction numerator straight alpha over denominator 2 minus straight alpha end fraction log subscript 2 3 equals fraction numerator 2 straight alpha minus 2 over denominator 2 minus straight alpha end fraction........................ left parenthesis 1 right parenthesis log subscript 24 48 equals log subscript 24 2 plus log subscript 24 2 4 equals 1 plus fraction numerator 1 over denominator log subscript 2 24 end fraction on space simplification log subscript 2 24 equals 3 plus log subscript 2 3 log subscript 24 48 equals 1 plus fraction numerator 1 over denominator 3 plus log subscript 2 3 end fraction........... left parenthesis 2 right parenthesis sub space left parenthesis 1 right parenthesis space in space left parenthesis 2 right parenthesis end style
Answered by Expert 6th August 2018, 12:41 PM
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