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Math Help - How to demonstrate that f(x) = log|x|

  1. #1
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    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
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    Quote Originally Posted by NeedHelp18 View Post
    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)
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