The logarithmic function is. The logarithmic function is denoted by. Is always on the positive side of and never crosses the y-axis.
Alternatively we could show this by starting with the exponential function.
A function such as y loga x or y ln x that is the inverse of an exponential function such as y ax or y ex so that the independent variable appears in a logarithm. Therefore 3 is the logarithm of 8 to base 2 or 3 log 2 8. A function such as y loga x or y ln x that is the inverse of an exponential function such as y ax or y ex so that the independent variable appears in a logarithm. For x 0 a 0 and aneq1 y log a x if and only if x a y.