A) \[2\log x\]
B) \[2\log |x|\]
C) \[|\log {{x}^{2}}|\]
D) \[{{(\log x)}^{2}}\]
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.
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