# Thread: How to demonstrate that f(x) = log|x|

1. ## How to demonstrate that f(x) = log|x|

is an even function?

i tried plugging in the values for the x, but its still not giving me the right answer.

ehh im so lost

any help would be helpful XD

2. Originally Posted by NeedHelp18
is an even function?

i tried plugging in the values for the x, but its still not giving me the right answer.

ehh im so lost

any help would be helpful XD
Well, $f(-x)=\log |-x|$
But we know that for any x, $|-x|=|x|$
Hence $f(-x)=\log |x|=f(x)$