Using numerical analysis and the Quotient Rule of Logarithms, how can ln m−ln 44

Question

be rewritten?(1 point)
Responses

ln(m/44)
l n left parenthesis Start Fraction m over 44 End Fraction right parenthesis

ln(44/m)
l n left parenthesis Start Fraction 44 over m End Fraction right parenthesis

ln m/ln44
Start Fraction l n m over l n 44 End Fraction

ln(m−44)

Answer 1

To rewrite the expression $\ln m-\ln 44$ using the Quotient Rule of Logarithms, we apply the rule which states:

$$\ln a-\ln b=\ln \left(\frac{a}{b}\right)$$

In this case, $a=m$ and $b=44$. Therefore, using the quotient rule, we have:

$$\ln m-\ln 44=\ln \left(\frac{m}{44}\right)$$

So the correct response is:

ln(m/44)

or

ln left parenthesis Start Fraction m over 44 End Fraction right parenthesis (both notations mean the same).