If \({{x}^{{{\log }_{7}}x}}>7\) where x > 0, then which one of the following is correct?

\(x\epsilon \left( \frac{1}{7},~\infty \right)\)

\(x\epsilon\left( {\frac{1}{7},\;7} \right)\)

\(x\epsilon \left( 0,\frac{1}{7} \right)\cup \left( 7,~\infty \right)\)

If \({{x}^{{{\log }_{7}}x}}>7\) where x > 0, then which one of the fo

1.	If \({{x}^{{{\log }_{7}}x}}>7\) where x > 0, then which one of the following is correct?
A.	xϵ(0, ∞)
B.	\(x\epsilon\left( {\frac{1}{7},\;7} \right)\)
C.	\(x\epsilon \left( 0,\frac{1}{7} \right)\cup \left( 7,~\infty \right)\)
D.	\(x\epsilon \left( \frac{1}{7},~\infty \right)\)
Answer» D. \(x\epsilon \left( \frac{1}{7},~\infty \right)\)

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