QuestionUse the properties of logs to condense the expression: $$3 \ln x+2 \ln y-4 \ln z$$

Studdy Solution
Use the quotient rule of logarithms, which states that $\ln a - \ln b = \ln\left(\frac{a}{b}\right)$, to combine the result with the subtraction term:
$$\ln(x^3 \cdot y^2) - \ln(z^4) = \ln\left(\frac{x^3 \cdot y^2}{z^4}\right)$$
The condensed expression is:
$$\ln\left(\frac{x^3 \cdot y^2}{z^4}\right)$$