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Q. \( 5^{n+2} = 625 \), find \( (12n+3)^{\frac{1}{3}} \)
✏️ Solution
\( 625 = 5^4 \)
\( 5^{n+2} = 5^4 \)
\( n+2 = 4 \)
\( n = 2 \)
\( (12n+3)^{\frac{1}{3}} = (12\times2 + 3)^{\frac{1}{3}} \)
\( = (24 + 3)^{\frac{1}{3}} \)
\( = 27^{\frac{1}{3}} \)
\( = 3 \)
\( \boxed{3} \)