Burgess Byrd
09/04/2023 · High School
Use properties of logarithms to condense the logarith expressions. \( \ln x+\ln 10 \) \( \ln x+\ln 10=\square \)
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Step-by-step Solution
To condense the expression \( \ln x + \ln 10 \) using the properties of logarithms, we can use the property that states:
\[
\ln a + \ln b = \ln(ab)
\]
Applying this property to the given expression:
\[
\ln x + \ln 10 = \ln(x \cdot 10) = \ln(10x)
\]
So, the condensed expression is:
\[
\ln(10x)
\]
Thus,
\[
\ln x + \ln 10 = \ln(10x)
\]
Quick Answer
\(\ln x + \ln 10 = \ln(10x)\)
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