Question

How do you determine if `f(x)= In(x)` is an even or odd function?

Answer 1

Neither.

Explanation:

If ln x is real, ln (-x) is complex.

A function f(x) is even or odd according as`f(x)=+-f(-x)`.

For even functions, the graph will be symmetrical about the x-axis.

For odd functions, the graph eill be symmetrical sbout the origin.

ln x is defined fo x > 0 and it is an increasing function for

`x in (0,oo)`..

So, ln xis neither odd nor an even function.