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If-log-2-3-a-and-log-3-7-b-express-log-42-56-in-terms-of-a-and-b-




Question Number 137764 by byaw last updated on 06/Apr/21
If log_2 3=a and log_3 7=b, express  log_(42) 56 in terms of a and b
Iflog23=aandlog37=b,expresslog4256intermsofaandb
Answered by EnterUsername last updated on 06/Apr/21
log_2 3=a, log_3 7=((log_2 7)/(log_2 3))=b⇒log_2 7=ab  log_(42) 56=((log_2 56)/(log_2 42))=((log_2 (8×7))/(log_2 (6×7)))=((log_2 2^3 +log_2 7)/(log_2 2+log_2 3+log_2 7))  =((3+ab)/(1+a+ab))
log23=a,log37=log27log23=blog27=ablog4256=log256log242=log2(8×7)log2(6×7)=log223+log27log22+log23+log27=3+ab1+a+ab
Commented by otchereabdullai@gmail.com last updated on 08/Apr/21
wow!
wow!

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