(x)=log2(4^x-2^x),当x属于[1,2]时f(x)的最大值.函数是以2为底4^x-2^x的对数

已知函数f(x)=log2^ ( x/4 ) ×log2^ (2x) (1)解不等式f(x)>0;(2)当x∈【1,4】时,求f(x)的值域f（x）=log2（2x）×log2（x／4）＝[（log2 2）+(log2 x)] ×[(log2 x) -(log2 4)]=[1+(log2 x)] ×[(log2 x) -2]=(log2 x)² - (log2 x) -2 化简：(log2(x/4))*(log2(x/2)) log2^(x^log2^x)=? x^(log2 x)=32x^4 log2 x 2在下面x^(log2 x)=32x^4 log2 x 2在下面 log2 4+log2 (x+2)怎么算?log2 4+log2 (x+2)=log2 (4x+8) log2(-x)=x+ |2x-log2^x| log2 (x + 3) + log2(x + 2) = 1log2 (x + 3) + log2(x + 2) = 1 已知f(x)是奇函数,且f(2-x)=f(x),当x∈[2,3]时,f(x)=log2(x-1),则当x∈[1,2]时,f(x)=____.A.-log2(4-x) B.log2(4-x) C.-log2(3-x) D.log2(3-x)注：对数都是以2为底的. log2(2x)*log2(x)=2 x=? f(x)=log2(x/8)*log2(2/x) f(x)=(log2 X/4)*(log2 X/2),x∈[1/2,4]的值域 log2(4^x+4)=x+log2(2^x+1-3)log2(4^x+4)=x+log2[2^(x+1)-3] f(x)=log2(4x-x 2)定义域 log4(log2^x)=log2(log4^x)求log2^x (x)=log2(4^x-2^x),当x属于[1,2]时f(x)的最大值.函数是以2为底4^x-2^x的对数 log2 (x+1)+log2 x=log6 |[log2(x)]^2-3log2(x)+1|