Answer
False
Work Step by Step
$$\log_{b}(x^3 + y^3) = 3\log_{b}x + 3\log_{b}y$$ $$\log_{b}(x^3 + y^3) = 3(\log_{b}x + \log_{b}y)
$$ $$\log_{b}(x^3 + y^3) = 3(\log_{b}(xy))$$ $$\log_{b}(x^3 + y^3) = \log_{b}(xy)^3$$ $$\log_{b}
(x^3 + y^3) \neq \log_{b}(x^{3}y^{3})$$
