The equivalent function of x^2 is - Vidyadip

MCQ

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

A
$2\log x$
✓
$2\log |x|$
C
$|\log {x^2}|$
D
${(\log x)^2}$

✓

Answer

Correct option: B.

$2\log |x|$

b
(b) As $\log x$ is defined for only positive values of $x$.

But $\log {x^2}$ defined for all real values of $x$, also $\log |x|$ is also defined $\forall $ real $x$.

Hence $\log {x^2}$and $2\log |x|$ are identical functions.

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