If 3n=729, then the value of n is

ABC26GN1375 · Square Roots and Cube Roots

Subject: General Aptitude · Chapter: Square Roots and Cube Roots · Exam: 2003 · Marks: · Difficulty:

If $\sqrt{3^{n}}=729$, then the value of $n$ is

(a)6

(b)8

(c)10

(d)12

Answer

Answer (as printed): D

Explanation

$\sqrt{3^{n}}=729=3^{6} \Leftrightarrow\left(\sqrt{3^{n}}\right)^{2}=\left(3^{6}\right)^{2} \Leftrightarrow 3^{n}=3^{12} \Leftrightarrow n=12$.

Explanation as extracted from the printed page; notation may be imperfect.