If log3=a and log4=b, log1.5=?
回答 (2)
2009-11-29 7:02 am
✔ 最佳答案
Since : log 4 = log (2^2) = 2log 2 = b , so log 2 = b/2log1.5
= log(3/2)
= log 3 - log 2
= a - b/2
=(2a - b) / 2
2009-11-30 1:44 am
From the question,
log 3=a............(1)
log 4 = b
log (2^2)=b
2log 2=b
log 2=0.5b.........(2)
log 1.5
=log (3/2)
=log3-log2............(3)
Substitute (1) and (2) into (3):
log 1.5=a-0.5b
log 3=a............(1)
log 4 = b
log (2^2)=b
2log 2=b
log 2=0.5b.........(2)
log 1.5
=log (3/2)
=log3-log2............(3)
Substitute (1) and (2) into (3):
log 1.5=a-0.5b
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