## Precalculus: Mathematics for Calculus, 7th Edition

10$\log_2 x$ + 10$\log_2 y$
$Expand$ $the$ $expression$: $\log_2 (xy)^{10}$ Distribute the exponent to the variables in the parenthesis $\log_2 (x^{10}y^{10})$ Apply the First Law of Logarithms $\log_2 (x^{10}\times y^{10})$ = $\log_2 x^{10}$ + $\log_2 y^{10}$ Apply the Third Law of Logarithms to both terms $\log_2 x^{10}$ + $\log_2 y^{10}$ = 10$\log_2 x$ + 10$\log_2 y$