Question

solve the equation: 3^z=9sqrt3

Answer 1

To clarify, is it:
\[3^z = 9\sqrt{3}\]

Answer 2

\[3^{z} = 9\sqrt{3}\]\[3^{z} =3^{2}\times3^{(1/2)}\]\[3^{z}=3^{5/2}\]\[z=5/2\]

Answer 3

yes, tsigma

Answer 4

actually, the question is clear enough and no need to clarify la

Answer 5

break it up into two parts to make it a little easier. first we are going to deal with 3^z=9

since we know that 3x3 = 9 this part can be simplified to be 3^2

now the sqrt(3) can also be written as 3^1/2

so we put those two together and we get (3^2)(3^(1/2)=9sqrt(3)

this simplifies to 3^(5/2)

Answer 6

Thank you very much--that is very clear and easy for me to understand. :-)

Answer 7

no prob. that's what we're here for