Functions Question 603

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

[MP PET 1997]

Options:

A) $ 2\log x $

B) $ 2\log |x| $

C) $ |\log x^{2}| $

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

Show Answer

Answer:

Correct Answer: B

Solution:

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.