Suppose I have a function $$y=\ln x^2$$ Then is this function the same as $$y=2\ln |x|?$$
Is the function $y=\ln x^2$ the same as $y=2\ln |x|$?
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functions
logarithms
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0Short answer: yes. – 2012-07-15
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0Yes it is. $ $ $ $ – 2012-07-15
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1...if $x\in\mathbb R$, of course. – 2012-07-15
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3$$\log x^2 = \frac 1 2 2 \log x^2 = 2\log\sqrt{x^2}=2\log |x|$$ – 2012-07-15
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0See http://math.stackexchange.com/q/31331/ – 2012-07-15
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1Writing $\ln x^2$ is ambiguous, it may mean $(\ln x)^2$. – 2012-07-15