Question

Type the correct answer in the box

Answer 1

`log\boxed{7}`

Explanation:

• 
  `log(14)/(3)+log(11)/(5)-log(22)/(15)`

• 
  `=log\bigg((14)/(3)*(11)/(5)\bigg)-log(22)/(15)`

• 
  `=log\bigg((14*11)/(3*5)\bigg)-log(22)/(15)`

• 
  `=log\bigg((154)/(15)\bigg)-log(22)/(15)`

• 
  `=log\bigg((154)/(15)/(22)/(15)\bigg)`

• 
  `=log\bigg((154)/(15)*(15)/(22)\bigg)`

• 
  `=log\bigg((154)/(22)\bigg)`

• 
  `=log\boxed{7}`