Question

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

Answer 1

Answer:

Step-by-step explanation:

HEllo,

$(\sqrt{3})^n=3^{\frac{n}{2}}=\dfrac{3^x}{27^y}=3^x\times(3^3)^{-y}=3^{x-3y}\\\\\dfrac{n}{2}=x-3y\\\\\boxed{\sf \bf n= 2x-6y}$

Hope this helps