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Suppose I have a function $$y=\ln x^2$$ Then is this function the same as $$y=2\ln |x|?$$

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    Short answer: yes.2012-07-15
  • 0
    Yes it is. $ $ $ $2012-07-15
  • 1
    ...if $x\in\mathbb R$, of course.2012-07-15
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    $$\log x^2 = \frac 1 2 2 \log x^2 = 2\log\sqrt{x^2}=2\log |x|$$2012-07-15
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    See http://math.stackexchange.com/q/31331/2012-07-15
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    Writing $\ln x^2$ is ambiguous, it may mean $(\ln x)^2$.2012-07-15

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