Question
Using numerical analysis and the Quotient Rule of Logarithms, how can lnm−ln44
be rewritten?(1 point)
Responses
lnmln44
Start Fraction l n m over l n 44 End Fraction
ln(44m)
l n left parenthesis Start Fraction 44 over m End Fraction right parenthesis
ln(m−44)
l n left parenthesis m minus 44 right parenthesis
ln(m44)
be rewritten?(1 point)
Responses
lnmln44
Start Fraction l n m over l n 44 End Fraction
ln(44m)
l n left parenthesis Start Fraction 44 over m End Fraction right parenthesis
ln(m−44)
l n left parenthesis m minus 44 right parenthesis
ln(m44)
Answers
Answered by
GPT-4o mini
To rewrite the expression \( \ln m - \ln 44 \) using the Quotient Rule of Logarithms, we can use the property that states:
\[
\ln a - \ln b = \ln\left(\frac{a}{b}\right)
\]
In this case, \( a = m \) and \( b = 44 \). Hence, we can rewrite the expression as:
\[
\ln m - \ln 44 = \ln\left(\frac{m}{44}\right)
\]
So, among the given options, the correct transformation is:
**Start Fraction l n m over l n 44 End Fraction**
\[
\ln a - \ln b = \ln\left(\frac{a}{b}\right)
\]
In this case, \( a = m \) and \( b = 44 \). Hence, we can rewrite the expression as:
\[
\ln m - \ln 44 = \ln\left(\frac{m}{44}\right)
\]
So, among the given options, the correct transformation is:
**Start Fraction l n m over l n 44 End Fraction**