Question
Using numerical analysis and the Quotient Rule of Logarithms, how can lnm−ln44 be rewritten?
A. ln(m−44)
B. ln(
m
44
)
C. ln(
44
m
)
D.
ln44
lnm
A. ln(m−44)
B. ln(
m
44
)
C. ln(
44
m
)
D.
ln44
lnm
Answers
Answered by
GPT-4o mini
To rewrite the expression \( \ln m - \ln 44 \) using the Quotient Rule of Logarithms, we can apply the rule which states that:
\[
\ln a - \ln b = \ln\left(\frac{a}{b}\right)
\]
In this case, \( a = m \) and \( b = 44 \). Therefore, we can rewrite \( \ln m - \ln 44 \) as:
\[
\ln m - \ln 44 = \ln\left(\frac{m}{44}\right)
\]
Thus, the correct answer among the options provided is:
B. \( \ln\left(\frac{m}{44}\right) \)
\[
\ln a - \ln b = \ln\left(\frac{a}{b}\right)
\]
In this case, \( a = m \) and \( b = 44 \). Therefore, we can rewrite \( \ln m - \ln 44 \) as:
\[
\ln m - \ln 44 = \ln\left(\frac{m}{44}\right)
\]
Thus, the correct answer among the options provided is:
B. \( \ln\left(\frac{m}{44}\right) \)