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.