Question

expand each expression.
ln 3x =
done

Explanation:

Step1: Recall Logarithm Product Rule

The product rule for logarithms states that \(\ln(ab)=\ln(a)+\ln(b)\) for \(a>0\) and \(b>0\).

Step2: Apply the Rule to \(\ln(3x)\)

Here, \(a = 3\) and \(b=x\). So, applying the product rule, we get \(\ln(3x)=\ln(3)+\ln(x)\).

Answer:

\(\ln(3)+\ln(x)\)