Question

Given that √3^n = 3^x/27^y. Express n in terms of x and y.

Answer 1

Explanation:

HEllo,

`(√(3))^n=3^{(n)/(2)}=(3^x)/(27^y)=3^x*(3^3)^(-y)=3^(x-3y)\\\\<=>(n)/(2)=x-3y\\\\<=>\boxed{\sf \bf n= 2x-6y}`

Hope this helps