Solution
Correct Answer: Option D
$3\sqrt{\sqrt{x}} = \frac{x}{5}$ $\Rightarrow \sqrt[3]{x^{\frac{1}{2}}} = \frac{x}{5}$ $\Rightarrow x^{\frac{1}{2×3}} = \frac{x}{5}$ $\Rightarrow x^{\frac{1}{6}} = \frac{x}{5}$ $\Rightarrow 5 = \frac{x}{x^{\frac{1}{6}}}$ $\Rightarrow 5 = x^{1-\frac{1}{6}}$ $\Rightarrow 5 = x^{\frac{5}{6}}$ $\Rightarrow x = 5^{\frac{6}{5}}$ $\therefore x = \sqrt[5]{5^6}$
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