Write the Logarithm as a Sum or Difference of Logarithms $$\ln \left[ \frac { 5 x \left( x ^ { 9 } + 4 \right) ^ { 9 } } { \sqrt [ 9 ] { 3 + 5 x } } \right]$$

question 157

Multiple Choice

Write the logarithm as a sum or difference of logarithms. Simplify each term as much as possible.
- $$\ln \left[ \frac { 5 x \left( x ^ { 9 } + 4 \right) ^ { 9 } } { \sqrt [ 9 ] { 3 + 5 x } } \right]$$

• A) \(\ln 5 x + 9 \ln \left( x ^ { 9 } + 4 - \frac { 1 } { 9 } \ln 3 + 5 x \right)\)
• B) \(\ln 5 + \ln x + 9 \ln \left( x ^ { 9 } + 4 \right) - \frac { 1 } { 9 } \ln ( 3 + 5 x )\)
• C) \(\ln 5 + \ln x + 81 \ln x + 9 \ln 4 - \frac { 1 } { 9 } \ln 3 - \frac { 1 } { 9 } \ln 5 - \frac { 1 } { 9 } \ln x\)
• D) \(\ln 5 + \ln x + 729 \ln x \cdot \ln 4 - \frac { 1 } { 81 } \ln 3 \cdot \ln 5 - \frac { 1 } { 81 } \ln 3 \cdot \ln x\)

Identify option trading strategies such as time spreads, straddles, and strips/straps and their intended market outlooks.

Understand the concept of exercise price and how it relates to the value of options and their categorization as in, at, or out of the money.

Recognize the role and functions of the Options Clearing Corporation in the options market.

Understand the principles of option pricing and valuation, including factors affecting option value.

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