.log2^(x+1/x+6)

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.log2^(x+1/x+6).log2^(x+1/x+6).log2^(x+1/x+6)log2^(x+1/x+6)≤3两遍同取2的指数：x+1/x+6≤8x≠0时x+1/x≤2x²-2x

.log2^(x+1/x+6)
.log2^(x+1/x+6)

.log2^(x+1/x+6)
log2^(x+1/x+6)≤3
两遍同取2的指数：
x+1/x+6≤8
x≠0时 x+1/x≤2
x²-2x+1≤0
解得：(x-1)²≤0
x=1

log2^(x+1/x+6)<=3
log2^(x+1/x+6)<=log2^8
x+1/x+6<=8
当x+6>0,即x>-6时
x+1<=8x+48
7x>=-47
x>=-47/7
此时x>-6
当x+6<0，即x<-6时
x+1>=8x+48
x<=-47/7
此时x<=-47/7
所以原式的解集为x>-6或x<=-47/7

.log2^(x+1/x+6) |[log2(x)]^2-3log2(x)+1| log2(x+1)>log2(3-x) log2 (x+1)+log2 x=log6 不等式log2（x+1/x+6) log2(x+1)+log2x=log2（6）解方程不等式log2 (x+1) log2(2X-1) log2(x²+1) log2(x-1) log2(x)=-1 log2(x+1) log2(x-1) log2(x-1) log2 (x + 3) + log2(x + 2) = 1log2 (x + 3) + log2(x + 2) = 1 解关于x的不等式,log2 (x+1/x+6) 解方程log2(4^x+1)=x+log2(2^(x+3)-6) log2^(x^log2^x)=?