Question

Me ajudem, por favor!
Sendo log 2 base x = a, log 3 base x = b calcule log 12 base x

Answer 1

$log_x(2) = a \\ log_x(3) = b \\\\ log_x(12) = log_x(2 \times 2 \times 3) \\\\ log_x(12) = log_x(2) + log_x(2) + log_x(3) \\\\ log_x(12) = a +a + b \\\\ \boxed{ log_x(12) = 2a + b}$