Write the Expression $3 \ln ( 2 ) - \frac { 1 } { 5 } \ln \left( x ^ { 2 } + 4 \right)$

question 83

Multiple Choice

Write the expression $3 \ln ( 2 ) - \frac { 1 } { 5 } \ln \left( x ^ { 2 } + 4 \right)$ as the logarithm of a single quantity.

• A) \(\ln \left[ \frac { 8 } { \left( x ^ { 2 } + 4 \right) ^ { 5 } } \right]\)
• B) \(\ln \left( 8 \sqrt [ 5 ] { x ^ { 2 } + 4 } \right)\)
• C) \(\ln \left[ \frac { 9 } { \sqrt [ 5 ] { x ^ { 2 } + 4 } } \right]\)
• D) \(\ln \left( 9 \sqrt [ 5 ] { x ^ { 2 } + 4 } \right)\)
• E) \(\ln \left[ \frac { 8 } { \sqrt [ 5 ] { x ^ { 2 } + 4 } } \right]\)

---

Definitions:

Total Equity

The value left in a company after deducting total liabilities from total assets, representing the ownership value in the company.

Profit Margin

A financial metric expressed as a percentage, indicating how much of each dollar in revenue is translated into profit.

Market-to-Book Ratio

A comparison of a company's current market value to its book value, used to assess whether a stock is under or overvalued.

Price-Earnings Ratio

A valuation metric for companies, calculated by dividing the current market price of a stock by its earnings per share, indicating how much investors are willing to pay per dollar of earnings.