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標題:
If log3=a and log4=b, log1.5=?
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Given that log3=a and log4=b, express log 1.5 in terms of a and b.
最佳解答:
Since : log 4 = log (2^2) = 2log 2 = b , so log 2 = b/2 log1.5 = log(3/2) = log 3 - log 2 = a - b/2 =(2a - b) / 2
其他解答:
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
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