Nice! I was learning this just today! here are some notes i managed to write down before nodding off...:P log(x) is defined for positive values of x.
log(x) is not defined for real non positive values of x.
log(x)<0 for 0<x<1
log(x)=0 for x=1
log(x)>0 for x>1
I hope this may be somewhat helpful!
