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已知log147=a,log145=b,则用a,b表示log3528=______.
人气:291 ℃ 时间:2020-03-26 13:23:49
解答
∵log3528=
log1428
log1435
=
log14(14×
14
7
)
log145+log147
=
log14142log147
log145+log147
=
2−log147
log145+log147

∵log147=a,log145=b∴原式=
2−a
a+b

故答案为:
2−a
a+b
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