log9^3+log2^1/25×log3^1/8×5^1/9=

问题描述:

log9^3+log2^1/25×log3^1/8×5^1/9=

原式
= lg3/lg9+lg(1/25)/lg2×lg(1/8)/lg3×lg(1/9)/lg5
= lg3/(2lg3)+(-2lg5)/lg2×(-3lg2)/lg3×(-2lg3)/lg5
= 0.5-12
= -11.5