Question

Type the correct answer in the box

Answer 1

Answer:

$log\boxed{7}$

Step-by-step explanation:

• $log\frac{14}{3}+log\frac{11}{5}-log\frac{22}{15}$

• $=log\bigg(\frac{14}{3}*\frac{11}{5}\bigg)-log\frac{22}{15}$

• $=log\bigg(\frac{14*11}{3*5}\bigg)-log\frac{22}{15}$

• $=log\bigg(\frac{154}{15}\bigg)-log\frac{22}{15}$

• $=log\bigg(\frac{154}{15}\div\frac{22}{15}\bigg)$

• $=log\bigg(\frac{154}{15}\times\frac{15}{22}\bigg)$

• $=log\bigg(\frac{154}{22}\bigg)$

• $=log\boxed{7}$