已知log147=a,log145=b,则a,b表示log351093528=____.
(2-a)/(a+b)。解析:log147+log145=log1435=a+b,log3528=(log1428)/(log1435)=[log14(2×14)]/log1435=(1+log142)/log1435=[1+log14(14/7)]/log1435=[1+(1-log147)]/log1435=(2-a)/(a+b)
已知log147=a,log145=b,则a,b表示log351093528=____.
(2-a)/(a+b)。解析:log147+log145=log1435=a+b,log3528=(log1428)/(log1435)=[log14(2×14)]/log1435=(1+log142)/log1435=[1+log14(14/7)]/log1435=[1+(1-log147)]/log1435=(2-a)/(a+b)