Question

Expand the logarithm
ln
(
13
x
)
.(1 point)
Responses

ln
(
13
−
x
)
the natural log of open paren 13 minus x close paren

ln
13
−
ln
x
ln
13
−
ln
x

ln
13
ln
x
ln
13
ln
x

13
−
x

Answer 1

To expand the logarithm \(\ln(13x)\), you can use the property of logarithms that states:

\[
\ln(ab) = \ln(a) + \ln(b)
\]

In this case, \(a = 13\) and \(b = x\). Thus, we can expand \(\ln(13x)\) as follows:

\[
\ln(13x) = \ln(13) + \ln(x)
\]

So, the correct response is:

\(\ln(13) + \ln(x)\)