Question

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