If (6x)^6 = 6^8, Find x

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Q. If \( (6x)^6 = 6^8 \), find \( x \)

✏️ Solution

\( (6x)^6 = 6^6 \cdot x^6 \)

\( 6^6 \cdot x^6 = 6^8 \)

\( x^6 = 6^{8-6} \)

\( x^6 = 6^2 \)

\( x = 6^{\frac{2}{6}} \)

\( x = 6^{\frac{1}{3}} \)

Final Answer: \( \boxed{6^{1/3}} \)

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