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標題:
Given that 10^a=3
發問:
Given that 10^a=3 and 10^b=4.Then log(5/6)=?
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最佳解答:
10^a = 3 log3 = a 10^b = 4 log4 = b log(2^2) = b 2log2 = b log2 = (b/2) log(5/6) = log5 - log6 = log(10/2) - log(2x3) = (log10 - log2) - (log2 + log3) = log10 - log2 - log2 - log3 = 1 - (b/2) - (b/2) - a = 1 - a - b
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