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已知:33^x=2013,61^y=2013,求证:1/x+1/y=2013
弄错了,是求证:1/x+1/y=1
人气:384 ℃ 时间:2020-02-06 00:27:30
解答
证明:∵33^x=2013=33*61 ∴33^(x-1)=61 (两边除以33而得)∵ 61^y=2013=33*61∴61^(y-1)=33 (两边除以66而得)于是[33^(x-1)]^(y-1)=3333^[(x-1)(y-1)]=33(x-1)(y-1)=1xy-x-y+1=1xy-x-y=0两边同时除以xy得1-1/y-1...
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