已知log2 36=1,log2 10=b,则log2 15可用a,b表示为?

发布时间:2021-03-16 06:51:55

已知log2 36=1,log2 10=b,则log2 15可用a,b表示为?

网友回答

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
======以下答案可供参考======
供参考答案1:
log 2 36 = a
log 2 6² = a
2log 2 6 = a
log 2 6 = a/2
log 2 2 + log 2 3 = a/2
log 2 3 = a/2 - 1
log 2 10 = b
log2 2 + log 2 5 = b
log 2 5 = b - 1
log 2 15
= log2 3 + log2 5
= a/2 - 1 + b - 1
= a/2 + b - 2
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