下面以log(a,b)记以a为底的b的对数.0=log(2,1),而f(x)=log(2,x)在正实数集上单调递增,所以log(2,x-1)≥0=log(2,1)当且仅当x-1≥1,即x≥2.
当(x-1)=1时,log2(x-1)=0又因为log2(x-1)为增函数所以当log2(x-1)≥0时x-1≥1
log2(x-1)≥0,log2(1)=0,则x-1≥1