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I need this prep guide problem answered, I’m having trouble on it,*below, make sure to answer these as well*Where did Arjun make his errors? Explain his errors AND the properties of logarithms that leads to the correct answer. State the correct answer as well

I need this prep guide problem answered Im having trouble on itbelow make sure to answer these as wellWhere did Arjun make his errors Explain his errors AND the class=

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Solution

We have the following expression given:

[tex]\log _7x+\log _7y-\log _7z[/tex]

And we can rewrite this expression as:

[tex]\log _7(x\cdot y)-\log _7z=\log _7(\frac{xy}{z})[/tex]

He forgot to apply the properties of logarithms (Product and Quotient rule) properly

The correct answer simplified is:

[tex]\log _7(\frac{xy}{z})[/tex]

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