log以x-1为底( 16-x∧2)
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根据题意(x-1)^2=x+5x^2-3x-4=0x=4或者x=-1(舍去)所以x=4
log2(log3(log4x)=0(log3(log4x)=2^0=1log4x=3^1=3x=4^3=64log3(log4(log2y)=0log4(log2y)=3^0=1log2y=4^1=
(1)1-x>0==>x0==>x>-3∴函数f(x)的定义域这(-3,1)(2)A^0=(1-x)*(x+3)=1==>x^2+2x-2=0==>x1=-1-√3,x2=-1+√3(3)-x^2-2
(1)y^2=1-x^2=(1+x)(1-x)两边同时取以a为底的对数得:2logaY=loga(1+x)(1-x)=loga(1+x)+loga(1-x)=loga(1+x)-loga[1/(1-x
换底公式就是log(a)b=log(c)b/log(c)a所以log(3)2=alg2/lg3=alog(2)9=2log(2)3=2*lg3/lg2=2/a
1log以a为底x的对数+3log以x为底a的对数-log以x为底y的对数=3.可以化为log以a为底x的对数+3/log以a为底x的对数-log以a为底y的对数/log以a为底x的对数=3,即(lo
由log(a)(4+3X-X^2)-log(a)(2X-1)>log(a)(2),可得:log(a)[(4-X)*(1+X)]-log(a)(2X-1)〉log(a)(2)所以log(a)[(4-X)
令a=log2(x)2
x-4>02x-1>0x>4(1)04(2)a>1x-4>2x-1x4,空集综上所述,x>4
当x>1时,lgx>0,log以3为底x为真数+log以x为底3为真数,=lg3/lgx+lgx/lg3≥2y≥1当0<x<1时lgx<0-lg3/lgx-lgx/lg3≥2,lg3/lgx+lgx/
log3(x/3)=log3(x)-log3(3)=log3(x)-1以上是根据对数的运算法则;
解当x≥1时,log1/2(x)≤log1/2(1)=0即y≤0当x<1时0<2^x<2^1=2即0<2^x<2即0<y<2故综上知函数的值域为{y/y<2}.
log以4为底(3的X次方-1)为真数*log以4为底(3x次方-1)/16小于等于3/4=log4(3^x-1)*log4(3^x-1)-2log4(3^x-1)=3/4设a=log4(3^x-1)
(1)g(x)>f(x)所以3x+1>X+1、3x+1>0且x+1>0所以x>0、x>-1/3且x>-1所以x>0(2)y=g(x)-f(x)因为(3x+1)/(x+1)=2-2/(x+1)当x=0时
log0.25(2x^2+x+1)>=log0.5|x+1|lg(2x^2+x+1)/lg0.25>=lg|x+1|/lg0.5lg(2x^2+x+1)/lg0.5^2>=lg|x+1|/lg0.5l
y=(log₃x)²-2log₃x+2=(log₃x-1)²+1∵x∈[1/3,9]∴log₃1/3≤log₃x≤log
【参考答案】log5(3x-2)>log5(x+1)即不等式组:3x-2>0①x+1>0②3x-2>x+1③解这个不等式组得x>2/3x>-1x>3/2∴原不等式组的解集是x>3/2有不理解的地方欢迎
首先必须满足3^x-1>0原式为:(lg(3^x-1)/lg4)*(lg(3^x-1)-lg16)/lg0.25=0△=4(lg4)^2-3(lg4)^2恒大于零解为lg(3^x-1)>=1.5lg4
log以(4x+5)为底(x²+4x+4)=log以(4x+5)为底(x+2)²=2log以(4x+5)为底(x+2)令log以(x+2)为底(4x+5)=t则t-2/t-1=0∴