The equivalent function of log {x^2} is | vedclass

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Question

(B) The function $f(x) = \log(x^2)$ is defined for all $x \in \mathbb{R} \setminus \{0\}$.Using the logarithmic property $\log(a^n) = n \log a$,we hav

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$2\log |x|$

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(B) The function $f(x) = \log(x^2)$ is defined for all $x \in \mathbb{R} \setminus \{0\}$.Using the logarithmic property $\log(a^n) = n \log a$,we have $\log(x^2) = 2 \log |x|$.Note that $\log x$ is only defined for $x > 0$,whereas $\log(x^2)$ is defined for both positive and negative values of $x$ (excluding $0$).Therefore,the equivalent function is $2 \log |x|$.

The equivalent function of $\log {x^2}$ is

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