已知a>0且a不等于1变量x、y满足3logx(a)+loga(x)-logx(y)=3 (1)若x=a^t(t不等于0)试用a、t表示y已知a>0且a不等于1,变量x、y满足3logx(a)+loga(x)-logx(y)=3.(1)若x=a^t(t不等于0),试用a、t
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![已知a>0且a不等于1变量x、y满足3logx(a)+loga(x)-logx(y)=3 (1)若x=a^t(t不等于0)试用a、t表示y已知a>0且a不等于1,变量x、y满足3logx(a)+loga(x)-logx(y)=3.(1)若x=a^t(t不等于0),试用a、t](/uploads/image/z/4958439-15-9.jpg?t=%E5%B7%B2%E7%9F%A5a%3E0%E4%B8%94a%E4%B8%8D%E7%AD%89%E4%BA%8E1%E5%8F%98%E9%87%8Fx%E3%80%81y%E6%BB%A1%E8%B6%B33logx%EF%BC%88a%EF%BC%89%2Bloga%EF%BC%88x%EF%BC%89-logx%EF%BC%88y%EF%BC%89%3D3+%EF%BC%881%EF%BC%89%E8%8B%A5x%3Da%5Et%28t%E4%B8%8D%E7%AD%89%E4%BA%8E0%EF%BC%89%E8%AF%95%E7%94%A8a%E3%80%81t%E8%A1%A8%E7%A4%BAy%E5%B7%B2%E7%9F%A5a%3E0%E4%B8%94a%E4%B8%8D%E7%AD%89%E4%BA%8E1%2C%E5%8F%98%E9%87%8Fx%E3%80%81y%E6%BB%A1%E8%B6%B33logx%EF%BC%88a%EF%BC%89%2Bloga%EF%BC%88x%EF%BC%89-logx%EF%BC%88y%EF%BC%89%3D3.%EF%BC%881%EF%BC%89%E8%8B%A5x%3Da%5Et%28t%E4%B8%8D%E7%AD%89%E4%BA%8E0%EF%BC%89%2C%E8%AF%95%E7%94%A8a%E3%80%81t)
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已知a>0且a不等于1变量x、y满足3logx(a)+loga(x)-logx(y)=3 (1)若x=a^t(t不等于0)试用a、t表示y已知a>0且a不等于1,变量x、y满足3logx(a)+loga(x)-logx(y)=3.(1)若x=a^t(t不等于0),试用a、t
已知a>0且a不等于1变量x、y满足3logx(a)+loga(x)-logx(y)=3 (1)若x=a^t(t不等于0)试用a、t表示y
已知a>0且a不等于1,变量x、y满足3logx(a)+loga(x)-logx(y)=3.(1)若x=a^t(t不等于0),试用a、t表示y
(2)若t属于{t|t^2-4t+3=<0}时,y有最小值8,求a、x的值
已知a>0且a不等于1变量x、y满足3logx(a)+loga(x)-logx(y)=3 (1)若x=a^t(t不等于0)试用a、t表示y已知a>0且a不等于1,变量x、y满足3logx(a)+loga(x)-logx(y)=3.(1)若x=a^t(t不等于0),试用a、t
loga^x+3logx^a-logx^y=3,
即loga^x+3/(loga^x)-(loga^y)/(loga^x)=3
方程两边同时乘以loga^x得(loga^x)^2+3-loga^y=3loga^x
所以loga^y=(loga^x)^2-3loga^x + 3
x=a^t,则t=loga ^x
loga^y=t^2-3t+3
y=a^(t^2-3t+3)
(2)(t-3)(t-1)<=0,得1<=t<=3.