log9^8×log4^27=____.

问题描述:

log9^8×log4^27=____.

log9^8×log4^27
=lg8/lg9×lg27/lg4
=3/2lg2/lg3×3/2lg3/lg2
=3/2×3/2
=9/4
=2.25

log9^8×log4^27
=lg8/lg9×lg27/lg4
=3lg2/2lg3×3lg3/2lg2
=3/2×3/2
=9/4