The number of integer values of ‘x’ for which log[x2](4−|x|)+log3{x} is real is___( [.] denotes G.I.F, {.} denotes fraction part).

f(x) is defined if x>0,x∉(−2,2),−4<x<4 ⇒x=2,3 So,number of integral values of x=2

The number of integer values of ‘x’ for which log[x2](4−|x|)+log3{x} is real is___( [.] denotes G.I.F, {.} denotes fraction part).

f(x) is defined if x>0,x∉(−2,2),−4<x<4 ⇒x=2,3 So,number of integral values of x=2

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The number of integer values of $‘ x ’$ for which $\log_{[x^{2}]} (4 - | x |) + \log_{3} {\sqrt{x}}$ is real is___( $[.]$ denotes G.I.F, ${.}$ denotes fraction part).

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$f (x) i s d e f i n e d i f x > 0, x \notin (- \sqrt{2}, \sqrt{2}), - 4 < x < 4 \Rightarrow x = 2, 3 S o, n u m b e r o f i n t e g r a l v a l u e s o f x = 2$

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The number of integer values of ‘x’ for which log[x2](4−|x|)+log3{x} is real is___( [.] denotes G.I.F, {.} denotes fraction part).

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The number of integer values of $‘ x ’$ for which $\log_{[x^{2}]} (4 - | x |) + \log_{3} {\sqrt{x}}$ is real is___( $[.]$ denotes G.I.F, ${.}$ denotes fraction part).