log9(16) ×log2(27)=6步骤_数学解答

log9(16) ×log2(27)=6步骤

人气：355 ℃　时间：2020-08-29 14:54:20

解答

log9(16) ×log2(27)
=lg16/1g9×lg27/lg2
=(lg16×lg27)/(lg9×lg2)
=(lg2^4×lg3^3)/(lg3^2×lg2)
=(4lg2×3lg3)/(2lg3×lg2)
=4×3/2
=6