First slide

Functions (XII)

Question

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

Moderate

A

2 log x
B

2 log|x|
C

$|\log x^{2}|$
D

${(\log x)}^{2}$

Solution

As log x is defined for only positive values of x. But $\log x^{2}$ defined for all non zero real values of x, also log|x| is defined $\forall$ non zero real x. Hence $\log x^{2}$ and $2 \log | x |$ are identical functions.

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