Question 22, 4.3.13 HW Score: $0 \%, 0$ of 30 points Points: 0 of 1 Save Use properties of logarithms to expand the logarithmic expression as much as possible. Evaluate logarithmic expressions without using a calculator if possible. \[ \ln \left(\frac{e^{7}}{17}\right) \] \[ \ln \left(\frac{e^{7}}{17}\right)=\square \]

Step 1 ：The logarithm of a quotient is equal to the difference of the logarithms of the numerator and the denominator. Therefore, we can rewrite the expression as \( \ln(e^7) - \ln(17) \).

Step 2 ：The logarithm base e of e to the power of a number is just that number. Therefore, \( \ln(e^7) \) simplifies to 7.

Step 3 ：The final expression is \( 7 - \ln(17) \).

Step 4 ：Calculate the value of the expression to get the final answer.

Step 5 ：Final Answer: \( \boxed{4.166786655943784} \)