## Algebra: A Combined Approach (4th Edition)

$\log_{2}x+\log_{2}(x-3)-\log_{2}(x^{2}+4)=\log_{2}\dfrac{x(x-3)}{x^{2}+4}$
$\log_{2}x+\log_{2}(x-3)-\log_{2}(x^{2}+4)$ Combine $\log_{2}x+\log_{2}(x-3)$ as the $\log$ of a product: $\log_{2}x(x-3)-\log_{2}(x^{2}+4)=...$ Combine $\log_{2}x(x-3)-\log_{2}(x^{2}+4)$ as the $\log$ of a division: $...=\log_{2}\dfrac{x(x-3)}{x^{2}+4}$