log2(3)*log3(4)*log4(5)*log5(6)*log6(7)*log7(8)=?

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log2(3)*log3(4)*log4(5)*log5(6)*log6(7)*log7(8)=?
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log2(3)*log3(4)*log4(5)*log5(6)*log6(7)*log7(8)=?
log2(3)*log3(4)*log4(5)*log5(6)*log6(7)*log7(8)=?

log2(3)*log3(4)*log4(5)*log5(6)*log6(7)*log7(8)=?
log2(3)*log3(4)*log4(5)*log5(6)*log6(7)*log7(8)
=(lg3/lg2)(lg4/lg3(*.lg8/lg7;
=lg8/lg2=log2(8)=3

直接能看出=log2(8)=3