Question

I have an online practice guide problem that I’m having trouble on.Please answer these questions as well, as they are included. Where did Arjun make errors?Explain the errors that he made, and the properties of logarithms that leads to the correct answer. State the correct answer.

Answer 1

Given:

`\log _7x+\log _7y-\log _7z=\log _7(x+y-z)`

Arjun written the proof incorrectly.

Logarthmic rule states that:

`\log (a)+\log (b)=\log (ab)`
`\log (a)-\log (b)=\log ((a)/(b))`

Correct form of Arjun's equation is

`\log _7x+\log _7y-\log _7z=\log _7((xy)/(z))`