Respuesta :

ghanami
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 
a = 5.5

a  = 5.5

The given equation is:

[tex]243 \sqrt{3} = 3^a[/tex]

Express the left hand side in power form making 3 the base

[tex]3^5 \times 3^{\frac{1}{2} = 3^a \\[/tex]

[tex]3^\frac{11}{2} = 3^a\\[/tex]

The base cancels out:

a  =  11/2

a  =  5.5

Learn more here: https://brainly.com/question/17025327

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