Bunuel wrote:
If \(5*\sqrt[x]{125}=\frac{1}{5^{\frac{1}{x}}}\), then x = ?
A. -4
B. \(\frac{-1}{\sqrt{2}}\)
C. 0
D. \(\frac{1}{\sqrt{2}}\)
E. 1
\(5*\sqrt[x]{125}=\frac{1}{5^{\frac{1}{x}}}\)
->\(5*5^(^3^/^x^) = 5^(^-^1^/^x^)\)
->\(5^(^1^+^3^/^x^) = 5^(^-^1^/^x^)\)
-> 1+3/x = -1/x
-> 4/x = -1
-> x= -4
[Reveal] Spoiler:
Answer A.
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