问题 填空题

已知log147=a,log145=b,则用a,b表示log3528=______.

答案

∵log3528=

log1428
log1435
=
log14(14×
14
7
)
log145+log147
=
log14142-log147
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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