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21 votes
21 votes
Type the correct answer in the box.log14/3 + log11/5- log22/15 log?

Type the correct answer in the box.log14/3 + log11/5- log22/15 log?-example-1
User Erik Eidt
by
2.8k points

1 Answer

10 votes
10 votes

We have the following:


log\: (14)/(3)+log\: (11)/(5)-log\: (22)/(15)=log\: x

solving:


\begin{gathered} log(\: (14)/(3)\cdot\: (11)/(5))-\log (22)/(15)=\log x \\ log(\: (154)/(15))-\log (22)/(15)=\log x \\ log(\: ((154)/(15))/((22)/(15)))=\log x \\ \log 7=\log \text{ x} \\ \end{gathered}

Therefore, the answer is log 7

User Vanomart
by
3.0k points