condense $ln 12 - ln 4$.\n$ln 12 - ln 4 = \\square$

condense $ln 12 - ln 4$.\n$ln 12 - ln 4 = \\square$

condense $ln 12 - ln 4$.\n$ln 12 - ln 4 = \\square$

Answer

Explanation:

Step1: Apply logarithm quotient rule

$\ln a - \ln b = \ln\left(\frac{a}{b}\right)$, so $\ln 12 - \ln 4 = \ln\left(\frac{12}{4}\right)$

Step2: Simplify the fraction

$\frac{12}{4}=3$, so $\ln\left(\frac{12}{4}\right)=\ln 3$

Answer:

$\ln 3$