作业帮设f(x)=log1/2[a^2x+2(ab)^x-3b^2x+1](a>0,b>0),解不等式f(x)＜0求真相,
来源：学生作业帮助网 编辑：作业帮 时间：2024/05/05 10:16:35
,解不等式f(x)＜0求真相,](/uploads/image/z/1639769-41-9.jpg?t=%E8%AE%BEf%28x%29%3Dlog1%2F2%5Ba%5E2x%2B2%28ab%29%5Ex-3b%5E2x%2B1%5D%28a%3E0%2Cb%3E0%29%2C%E8%A7%A3%E4%B8%8D%E7%AD%89%E5%BC%8Ff%28x%29%EF%BC%9C0%E6%B1%82%E7%9C%9F%E7%9B%B8%2C)
设f(x)=log1/2[a^2x+2(ab)^x-3b^2x+1](a>0,b>0),解不等式f(x)＜0求真相,
设f(x)=log1/2[a^2x+2(ab)^x-3b^2x+1](a>0,b>0),解不等式f(x)＜0
求真相,
设f(x)=log1/2[a^2x+2(ab)^x-3b^2x+1](a>0,b>0),解不等式f(x)＜0求真相,
log1/2[a^2x+2(ab)^x-3b^2x+1]＜0 ==> a^2x+2(ab)^x-3b^2x+1>1 ==> a^2x+2(ab)^x-3b^2x>0
化为 ((a/b)^x+3)((a/b)^x-1)>0 所以（a/b)^x>1=(a/b)^0
a>b时 ,x>0;a