Question

Log4по основанию 3-4 Log3 по основанию 3+ Log9/4 по основанию 3=

Answer 1

Log(3) 4 - 4Log(3)3 + Log(3) 9/4 = Log(3) 4 - Log(3) 3^4 + Log(3) 9/4 = Log(3) (4*9/(3^4 * 4)) = Log(3) (3^2/3^4) = Log(3) 1/3^2 = Log(3) 3^-2 = -2

Answer 2

$log_{3}4-4log_{3}3+log_{3} frac{9}{4}=log_{3} frac{9}{4}*4 - 4=log_{3}9-4=2-4=-2$