解不等式log2(x^2+6x+1)≤3.loga(x-2\x)>0(a>0,a≠1).

问题描述:

解不等式log2(x^2+6x+1)≤3.loga(x-2\x)>0(a>0,a≠1).
要有详细过程(log后面的2,a是底数)

log2(x^2+6x+1)≤3
=> log2(x^2+6x+1)≤log2(8)
=> x^2+6x+1≤8
=> -7≤x≤1
0loga(x-2/x)>0
=> loga(x-2/x)>loga(1)
=> (x-2/x)=> -1a>1时
loga(x-2/x)>0
=> loga(x-2/x)>loga(1)
=> (x-2/x)>1
=> x2