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26 votes
Type the correct answer in the box

Type the correct answer in the box-example-1

1 Answer

20 votes
20 votes

Answer:


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}
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