Use the ALEKS calculator to evaluate each expression. Round your answers to the nearest thousandth. Do not round any intermediate computations. \[ \ln \frac{3}{4}=\square \] \( \ln 32.5=\square \)

To evaluate the expression \(\ln \frac{3}{4}\), use the property of logarithms that states \(\ln \frac{a}{b} = \ln a - \ln b\). Thus, you would calculate \(\ln 3 \approx 1.0986\) and \(\ln 4 \approx 1.3863\). When you subtract these values, \(\ln \frac{3}{4} \approx 1.0986 - 1.3863 = -0.2877\). Rounding to the nearest thousandth yields \(-0.288\). For the expression \(\ln 32.5\), simply find the natural logarithm of 32.5, which is approximately \(3.471\). Rounding this to the nearest thousandth gives \(\ln 32.5 \approx 3.471\). So your answers are: \[ \ln \frac{3}{4} \approx -0.288 \] \[ \ln 32.5 \approx 3.471 \]