log4^27×log(8)25×log9^5

问题描述:

log4^27×log(8)25×log9^5

log4^27×log(8)25×log5^9
=lg27/lg4×lg25/lg8×lg5/lg9
=3/4lg3/lg2×2/3lg5/lg2×1/2lg3/lg5
=3/4×2/3×1/2
=1/4