Find the product of the zeros of g.

Question

Let g(x) = log₅|2log₃|. Find the product of the zeros of g.

I did not understand how this function could have zeros as there is no unknown to calculate for. I'm also not sure what the purpose of the absolute value is for.

Answer 1

In think there is a misprint. The definition should be $g(x)=log_5|2log_3 x|$. This is $0$ iff $2log_3 x=\pm 1$. This means $x=3^{1/2} $ or $x =3^{-1/2}$ and the product of these zeros is $1$.