Question
Expand the logarithm: 1n (13/x)
Answers
GPT-4o mini
To expand the logarithm \(\ln\left(\frac{13}{x}\right)\), we can use the properties of logarithms.
1. The quotient rule states that \(\ln\left(\frac{a}{b}\right) = \ln(a) - \ln(b)\).
Applying this rule:
\[
\ln\left(\frac{13}{x}\right) = \ln(13) - \ln(x)
\]
Thus, the expansion of \(\ln\left(\frac{13}{x}\right)\) is:
\[
\ln(13) - \ln(x)
\]
1. The quotient rule states that \(\ln\left(\frac{a}{b}\right) = \ln(a) - \ln(b)\).
Applying this rule:
\[
\ln\left(\frac{13}{x}\right) = \ln(13) - \ln(x)
\]
Thus, the expansion of \(\ln\left(\frac{13}{x}\right)\) is:
\[
\ln(13) - \ln(x)
\]