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×logxproperty 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

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