Use the Quotient Rule
Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate
logarithmic expressions without using a calculator.
-$\ln \left( \frac { e ^ { 3 } } { 5 } \right)$
A) $3 - \ln 5$
B) $\ln e ^ { 3 } - \ln 5$
C) $3 + \ln 5$
D) $\ln e ^ { 3 } + \ln 5$

Question

Quizplus · Accepted Answer

The Quotient Rule of logarithms states that $\ln\left(\frac{a}{b}\right) = \ln a - \ln b$. Applying this to the given expression, we get $\ln(e^3) - \ln(5)$. Since $\ln(e^3) = 3$, the expression simplifies to $3 - \ln 5$.

Use the Quotient Rule Use Properties of Logarithms to Expand ln⁡(e35)\ln \left( \frac { e ^ { 3 } } { 5 } \right)ln(5e3​)

Use the Quotient Rule
Use Properties of Logarithms to Expand $\ln \left( \frac { e ^ { 3 } } { 5 } \right)$