Some examples of graph of logarithms, taken from purplemaths:

 

y = ln(x) y = ln(–x) y = –ln(x)
graph of y = ln(x) graph of y = ln(–x) graph of y = –ln(x)
y = ln(x + 1) y = ln(–x + 1) y = –ln(–x)
graph of y = ln(x + 1) graph of y = ln(–x + 1) graph of y = –ln(–x)
y = ln(x) – 1 y = ln(–x) – 1 y = ln(x – 1)
graph of y = ln(x) – 1 graph of y = ln(–x) – 1 graph of y = ln(x – 1)
y = ln(x) + 1 y = ln(–x) + 1 y = ln(–x – 1)
graph of y = ln(x) + 1 graph of y = ln(–x) + 1 graph of y = ln(–x – 1)