Answer
False
Work Step by Step
The right side can be written:
$3\log_{b}x+3\log_b y=\log_b x^3+\log_b y^3=\log_b(x^3y^3)$
Thus,
$\log_{b}(x^3+y^3)\ne \log_{b}(x^3+y^3)$.
Therefore, the statement is false.
A correct statement is:
$\log_b (x^3y^3)=3\log_{b}x+3\log_b y$
