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

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(B) The function $f(x) = \log(x^2)$ is defined for all $x \in \mathbb{R} \setminus \{0\}$ because $x^2 > 0$ for all non-zero real numbers.Using the lo

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$2\log |x|$

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(B) The function $f(x) = \log(x^2)$ is defined for all $x \in \mathbb{R} \setminus \{0\}$ because $x^2 > 0$ for all non-zero real numbers.Using the logarithmic property $\log(a^n) = n \log a$,we must ensure the domain remains consistent.Since $x^2 = |x|^2$,we can write $\log(x^2) = \log(|x|^2) = 2 \log |x|$.The function $2 \log |x|$ is also defined for all $x \in \mathbb{R} \setminus \{0\}$.Therefore,the equivalent function is $2 \log |x|$.

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

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