log7(4)·log4(7)求值①log5(3)·log3(7)·log7(5)②log7(4)·log4(7)

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log7(4)·log4(7)求值①log5(3)·log3(7)·log7(5)②log7(4)·log4(7)

log7(4)·log4(7)求值①log5(3)·log3(7)·log7(5)②log7(4)·log4(7)
log7(4)·log4(7)
求值
①log5(3)·log3(7)·log7(5)
②log7(4)·log4(7)

log7(4)·log4(7)求值①log5(3)·log3(7)·log7(5)②log7(4)·log4(7)
log7(4)·log4(7)
=(lg4/lg7)×(lg7/lg4)
=1
①log5(3)·log3(7)·log7(5)
=(lg3/lg5)×(lg7/lg3)×(lg5/lg7)
=1
②log7(4)·log4(7)
=(lg4/lg7)×(lg7/lg4)
=1

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