How do you shift a log graph?

How To: Given a logarithmic function Of the form f(x)=logb(x+c) f ( x ) = l o g b ( x + c ) , graph the Horizontal Shift. Identify the horizontal shift: If c > 0, shift the graph of f(x)=logb(x) f ( x ) = l o g b ( x ) left c units. If c < 0, shift the graph of f(x)=logb(x) f ( x ) = l o g b ( x ) right c units.

How do you find the domain of a logarithmic function?

Remember that when no base is shown, the base is understood to be 10 . The graph is nothing but the graph y=log(x) translated 3 units down. The function is defined for only positive real numbers. So, the domain of the function is set of positive real numbers or {x∈ℝ|x>0} .