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