∵33^x=2013,61^y=2013兩式兩邊分別取以2013為底的對(duì)數(shù)∴l(xiāng)og(2013)(33^x)=1log(2013)(61^y)=1∴x*log(2013)33=1y*log(2013)61=1∴1/x=log(2013)331/y=log(2013)61相加：1/x+1/y=log(2013)33+log(2013)61=log(2013)(3...請(qǐng)用初二數(shù)學(xué)解答下面應(yīng)該是初二的：33^x=33*61 兩邊除以33∴33^(x-1)=61①∵61^y=33*61兩邊同時(shí)除以61:∴61^(y-1)=33②①代入②：[33^(x-1)]^(y-1)=33即33^[(x-1)(y-1)]=33∴(x-1)(y-1)=1∴xy-x-y+1=1∴xy-x-y=0兩邊同時(shí)除以xy 1-1/y-1/x=0即1/x+1/y=1我們才學(xué)到積的乘方還有冪的次方，同底數(shù)冪相乘同底數(shù)冪相除呢？這里用到了沒(méi)學(xué)開方呀?jīng)]有學(xué)開方的那個(gè)解法，我給刪掉了33^x=33*61 兩邊除以33∴33^(x-1)=61①∵61^y=33*61兩邊同時(shí)除以61:∴61^(y-1)=33②①代入②：[33^(x-1)]^(y-1)=33即33^[(x-1)(y-1)]=33∴(x-1)(y-1)=1∴xy-x-y+1=1∴xy-x-y=0兩邊同時(shí)除以xy 1-1/y-1/x=0即1/x+1/y=1Petty good！OL