log(x)2×log(2x)2=log(4x)2 关于x的方程k*9^x-3k*3^x+6(k-5)=0在[0,2]内有解,求实数k的取值范围,再问一道,嘻嘻,
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![log(x)2×log(2x)2=log(4x)2 关于x的方程k*9^x-3k*3^x+6(k-5)=0在[0,2]内有解,求实数k的取值范围,再问一道,嘻嘻,](/uploads/image/z/5255681-41-1.jpg?t=log%28x%292%C3%97log%282x%292%3Dlog%284x%292+%E5%85%B3%E4%BA%8Ex%E7%9A%84%E6%96%B9%E7%A8%8Bk%2A9%5Ex-3k%2A3%5Ex%2B6%28k-5%29%3D0%E5%9C%A8%5B0%2C2%5D%E5%86%85%E6%9C%89%E8%A7%A3%2C%E6%B1%82%E5%AE%9E%E6%95%B0k%E7%9A%84%E5%8F%96%E5%80%BC%E8%8C%83%E5%9B%B4%EF%BC%8C%E5%86%8D%E9%97%AE%E4%B8%80%E9%81%93%EF%BC%8C%E5%98%BB%E5%98%BB%EF%BC%8C)
log(x)2×log(2x)2=log(4x)2 关于x的方程k*9^x-3k*3^x+6(k-5)=0在[0,2]内有解,求实数k的取值范围,再问一道,嘻嘻,
log(x)2×log(2x)2=log(4x)2
关于x的方程k*9^x-3k*3^x+6(k-5)=0在[0,2]内有解,求实数k的取值范围,再问一道,嘻嘻,
log(x)2×log(2x)2=log(4x)2 关于x的方程k*9^x-3k*3^x+6(k-5)=0在[0,2]内有解,求实数k的取值范围,再问一道,嘻嘻,
用换底公式:log(a)b=lgb/lga
log(x)2=lg2/lgx,log(2x)2=lg2/lg(2x)=lg2/(lg2+lgx),log(4x)2=lg2/lg(4x)=lg2/(2lg2+lgx)
所以 (lg2/lgx)×[lg2/(lg2+lgx)]=lg2/(2lg2+lgx)
化简,得:(lgx)²=2(lg2)²
所以lgx=±√2*lg2=lg[2^(±√2)
所以x=2^(±√2)
2log(m)y-log(m)x-log(m)z
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solve:log(x)+log(2x)=2
log(X+5)+log(X+2)=1
log(0.5x)(2)-log(0.5x^3)(x^2)=log(0.5x^3)(4)
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