作业帮a,b,x 都是正数,4[log(a)x]²+[3log(b)x]²=8log(a)x*log(b)x,则a,b的关系
来源：学生作业帮助网 编辑：作业帮 时间：2024/04/29 21:29:03
![a,b,x 都是正数,4[log(a)x]²+[3log(b)x]²=8log(a)x*log(b)x,则a,b的关系](/uploads/image/z/10431095-23-5.jpg?t=a%2Cb%2Cx+%E9%83%BD%E6%98%AF%E6%AD%A3%E6%95%B0%2C4%5Blog%28a%29x%5D%26sup2%3B%2B%5B3log%28b%29x%5D%26sup2%3B%3D8log%28a%29x%2Alog%28b%29x%2C%E5%88%99a%2Cb%E7%9A%84%E5%85%B3%E7%B3%BB)
a,b,x 都是正数,4[log(a)x]²+[3log(b)x]²=8log(a)x*log(b)x,则a,b的关系
a,b,x 都是正数,4[log(a)x]²+[3log(b)x]²=8log(a)x*log(b)x,则a,b的关系
a,b,x 都是正数,4[log(a)x]²+[3log(b)x]²=8log(a)x*log(b)x,则a,b的关系
4(lgx)^2/(lga)^2+3(lgx)^2/(lgb)^2=8lgx/lga*lgx/lgb
4/(lga)^2+3/(lgb)^2=8/lga*lgb
4(lgb)^2+3(lga)^2-8lgalgb=0
(2lgb-3lga)(2lgb-lga)=0
2lgb-3lga=0,或,2lgb-lga=0
b^2=a^3,或,a=b^2