log2 (1/49))×log3 (1/16)×log7 (1/27)
问题描述:
log2 (1/49))×log3 (1/16)×log7 (1/27)
答
log2 (1/49)×log3 (1/16)×log7 (1/27)
=lg(1/49)/lg2×lg(1/16)/lg3×lg(1/27)/lg7
=(-2)×lg(7)/lg2×(-4)×lg2/lg3×(-3)×lg3/lg7
=-24