求等式log(2)3*log(3)4*log(4)5*log(5)6*log(6)7*log(7)m=log(3)9时m
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求等式log(2)3*log(3)4*log(4)5*log(5)6*log(6)7*log(7)m=log(3)9时m的值?
log(2)3*log(3)4*log(4)5*log(5)6*log(6)7*log(7)m=log(3)9
根据换底公式
lg3/lg2*lg4/lg3*lg5/lg4*lg6/lg5*lg7/lg6*lgm/lg7=2
lgm/lg2=2
lgm=2lg2=lg4
m=4
根据换底公式
lg3/lg2*lg4/lg3*lg5/lg4*lg6/lg5*lg7/lg6*lgm/lg7=2
lgm/lg2=2
lgm=2lg2=lg4
m=4
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