# Math - Properties of Logarithm

posted by
**Greg** on
.

Can someone show how to this question.

Loga(x+3) + Loga(x-3) = 3

I don't know if I'm typing this correctly the a is the base.

So, I'm thinking,

Loga((x+3)(x-3)) = 3

(x+3)(x-3) = 3^a

x^2 - 9 = 3^a,

x^2 = 3^a + 9

x = sqrt(3^a + 9)

but now I'm stuck, I don't know how to proceed. I don't know if this is the answer...