设log(10)(2)=a,log(10)(3)=b,求log(1.5)(6)
问题描述:
设log(10)(2)=a,log(10)(3)=b,求log(1.5)(6)
答
a=lg2
b=lg3
log1.5(6)=lg6/lg1.5
=lg(3×2)/lg(3÷2)
=(lg3+lg2)/(lg3-lg3)
=(b+a)/(b-a)