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Sreejeeta Ghosh asked in Math

9?3to the power x = 3 to the power 5

Thank You
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Atul Shaw answered this

Dear student,
Assuming the question:
(9√3)x = 35
(32×31/2)x=35      [ n√a = a​​​​​​1/n ]
(32+1/2)x = 35      [(a​​​​​​n ×am)= a​​​​​​m+n ]
(35/2)x=35            [ (a​​​​​​n)m = a​​​​​mn ]
(35x/2)=35
Comparing the equations
Therefore, 5x/2= 5
                   x=2
Regards