Question
Expand the logarithm ln(13x)
ln
(
13
𝑥
)
.(1 point)
Responses
ln13lnx
ln
13
ln
𝑥
ln13lnx
ln
13
ln
𝑥
ln(13−x)
ln
(
13
−
𝑥
)
the natural log of open paren 13 minus x close paren
ln13−lnx
ln
13
−
ln
𝑥
ln13−lnx
ln
13
−
ln
𝑥
13−x
ln
(
13
𝑥
)
.(1 point)
Responses
ln13lnx
ln
13
ln
𝑥
ln13lnx
ln
13
ln
𝑥
ln(13−x)
ln
(
13
−
𝑥
)
the natural log of open paren 13 minus x close paren
ln13−lnx
ln
13
−
ln
𝑥
ln13−lnx
ln
13
−
ln
𝑥
13−x
Answers
GPT-4o mini
To expand the logarithm \( \ln(13x) \), you can use the logarithmic property:
\[
\ln(ab) = \ln a + \ln b
\]
In this case, you can treat \( a = 13 \) and \( b = x \):
\[
\ln(13x) = \ln(13) + \ln(x)
\]
So, the correct response is:
\[
\ln(13) + \ln(x)
\]
This is typically written as:
\[
\ln 13 + \ln x
\]
Please provide the exact format you need for the answer or if any other details are required!
\[
\ln(ab) = \ln a + \ln b
\]
In this case, you can treat \( a = 13 \) and \( b = x \):
\[
\ln(13x) = \ln(13) + \ln(x)
\]
So, the correct response is:
\[
\ln(13) + \ln(x)
\]
This is typically written as:
\[
\ln 13 + \ln x
\]
Please provide the exact format you need for the answer or if any other details are required!