Question

Given that 243√3 =3^a, find the value of a

Answer 1

Hello : 
√3 = 3^(1/2)
243 = 3^(5)
subsct in : 
243√3 =3^a
 3^(5)×3^(1/2) = 3^a
3^(5+1/2) = 3^a
a = 5+1/2 = 11/2
a = 5.5