Question

Hello, I need help with this. Giving brainiliest

9^(a) = (sqrt(3))^(a +2)​

Answer 1

2/3

Explanation:

9^a = sqrt(3)^a * sqrt(3)^2

9^a = 3^((a/2)+1)

3^(2a) = 3^((a/2)+1)

2a = (a/2)+1

1.5a=1

a=1/(3/2) = 2/3

Answer 2

2/3

Explanation:

Let's solve your equation step-by-step.

9a=(√3)a+2

9a=1.732051a+2

Solve Exponent.

9a=1.732051a+2

log(9a)=log(1.732051a+2)(Take log of both sides)

a*(log(9))=(a+2)*(log(1.732051))

a=(log(1.732051)/log(9))*(a+2)

a=0.25*(a+2)

a=0.25a+0.5(Simplify both sides of the equation)

a−0.25a=0.25a+0.5−0.25a(Subtract 0.25a from both sides)

0.75a=0.5

0.75a/0.75=0.5/0.75

(Divide both sides by 0.75)

a=0.666667

a=2/3

0.666667=2/3

Hope this helps :)