Question

以2/3为底3/2的对数,以1/4为底3的对数,以3为底4的对数,以3为底5的对数,以1/4为底2的对数 从小到大排列

Answer 1

log(2/3)(3/2)=-1,

log(1/4)(3)=lg3/lg(1/4)

=lg3/(-lg4)

=-lg3/lg4,

log(3)(4)=lg4/lg3.

log(3)(5)=lg5/lg3.

log(1/4)(2)=lg2/lg(1/4)

=lg2/(-2lg2)

=-2.

因为 0