**Logarithm Practice Problems****Problem 1:**- **Points:** 0/3.84- **Task:** Use the properties of logarithms to rewrite and simplify the logarithmic expression.- **Expression:** \(\log_3 \frac{1}{18}\)**Solution Attempt:**\[ -2.63 = \log_3 \left(\frac{1}{18}\right) \]**Feedback:** Incorrect solution indicated by a red 'X'.**Help Options:**- "Read It"- "Talk to a Tutor"**Problem 2:**- **Points:** 0/3.84 - **Task:** Use the properties of logarithms to rewrite and simplify the logarithmic expression.- **Expression:** \(\ln(3e^8)\)**Solution Attempt:**\[ \ln(3) + 8 = 9.0986 \]**Feedback:** Incorrect solution indicated by a red 'X'.**Help Options:**- "Read It"- "Talk to a Tutor"**Actions:**- You can submit your answer.- Access additional details or previous answers via the buttons provided.- Options to add notes or practice another problem are available.

Let a be a positive number such that a≠1, and let n be a real number. If u and v are positive real numbers, the following properties are true. 1 Product property: ln(uv)= lnu + lnv 2 Quotient property: ln(uv)= lnu - lnv 3 Power property: ln(un) = nlnuNow, the given logarithmic expression is log3118 using the quotient property followed by the product property we get log3118 = log31-log318 = 0 -log3(2·32) = -(log32+log332) using the power property we get, (log32+log332) = -log32-2log33 = -log32-2 Therefore, log3118 = -log32-2 Now, the given logarithmic expression is ln(3e8) using the product property followed by the power property we get ln(3e8) = ln3 + lne8 = ln3 + 8 Therefore, ln(3e8) = ln3 + 8