If x and a are positive rational numbers such that x^2a=3, then x^6a=?

X^ (2a) = 3

or, log [ x^ (2a) ] = log3 ... {taking log both sides}

or, 2a * logx = log3 {log (x^y) = y*logx ... property of log}

or, 3*2a*logx=3*log3{multiply both sides by 3}

or, 6a*logx=3*log3

or, log [x^ (6a) ]=log (3³) ... {same property used }

or, x^ (6a) = 3³ ... {antilog on both side}

➡x^ (6a) = 27