log2(3)*log3(4)*log4(5)*log5(6)*log6(7)*log7(8)=?
问题描述：
log2(3)*log3(4)*log4(5)*log5(6)*log6(7)*log7(8)=?
答
直接能看出=log2(8)=3
答
log2(3)*log3(4)*log4(5)*log5(6)*log6(7)*log7(8)
=(lg3/lg2)(lg4/lg3(*.lg8/lg7;
=lg8/lg2=log2(8)=3