QuestionUse the properties of logarithms to CONDENSE the expression. $$3 \ln 2+4 \ln x-\ln 5-2 \ln y=$$

Studdy Solution
Use the quotient rule, which states that $\ln a - \ln b = \ln\left(\frac{a}{b}\right)$, to combine terms with subtraction:
$$\ln\left(\frac{2^3 \times x^4}{5}\right) - \ln(y^2) = \ln\left(\frac{2^3 \times x^4}{5 \times y^2}\right)$$
The condensed expression is:
$$\ln\left(\frac{8x^4}{5y^2}\right)$$