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已知log2 36=1,log2 10=b,则log2 15可用a,b表示为?
人气:275 ℃ 时间:2020-05-22 11:31:17
解答
log2 36=a
log2 6^2=a
2log2 2*3 =a
log2 2 +log 2 3=a/2
1+log2 3=a/2
log2 3 =a/2-1
log2 10=b
log2 2*5=b
log2 2 + log2 5=b
log2 5=b-1
log2 15=log2 3*5=log2 3 + log2 5
=a/2-1+b-1
=a/2+b-2
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