1/2log3(6)-log3(根号2);log1/2(48)-log1/2(3);lg25/12+lg 48_数学解答

1/2log3(6)-log3(根号2);
log1/2(48)-log1/2(3);
lg25/12+lg 48

人气：157 ℃　时间：2020-02-04 22:24:25

解答

1‘、原式=log3(√6)-log3(√2)
=log3(√6/√2)
=log3(√3)
=1/2..
2、原式=log1/2(48/3)
=log1/2(16)
=log1/2[(1/2)^(-4)]
=-4..
注：也可以套换底公式：
log1/2(16)=log2(16)/log2(1/2)
=4/(-1)
=-4.
3、原式=lg[(25/12)*48]
=lg100
=2..