Question

Using numerical analysis and the Quotient Rule of Logarithms, how can ln m − ln 44 be rewritten?(1 point)
Responses

ln (44m)
ln (44m)

ln(m − 44)
ln(m − 44)

ln(m44)
the natural log of open paren m over 44 close paren

ln mln 44

Answer 1

To rewrite \( \ln m - \ln 44 \) using the Quotient Rule of Logarithms, you can use the property that states:

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

Applying this to your expression:

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

So, the correct rewrite of \( \ln m - \ln 44 \) is:

**the natural log of open paren m over 44 close paren** (or more concisely, \( \ln\left(\frac{m}{44}\right) \)).