Question

expand: log[a]x(x+3)

Answer 1

see the rules of exponents that both dmancine and i showed in earlier posts; in this case you use the rule "the log of a product is the sum of the logs"\[\log_{a}\left( x(x+3) \right) =\log_{a}(x)+\log_{a}(x+3) \]the RHS is the "expanded" form