Write as the Sum And/or Difference of Logarithms $\ln \left( \frac { ( x + 5 ) ( x - 2 ) } { ( x - 8 ) ^ { 4 } } \right) ^ { 4 / 3 } , \quad x > 2$

question 246

Multiple Choice

Write as the sum and/or difference of logarithms. Express powers as factors.
- $\ln \left( \frac { ( x + 5 ) ( x - 2 ) } { ( x - 8 ) ^ { 4 } } \right) ^ { 4 / 3 } , \quad x > 2$

• A) \(4 \ln ( x + 5 ) - 3 \ln ( x - 2 ) - \frac { 16 } { 3 } \ln ( x - 8 )\)
• B) \(\frac { 4 } { 3 } \ln \left( x ^ { 2 } + 7 x - 10 \right) - \frac { 16 } { 3 } \ln ( x - 8 )\)
• C) \(\ln ( x + 5 ) + \ln ( x - 2 ) + \ln 4 - 16 \ln ( x - 8 ) - \ln 3\)
• D) \(\frac { 4 } { 3 } \ln ( x + 5 ) + \frac { 4 } { 3 } \ln ( x - 2 ) - \frac { 16 } { 3 } \ln ( x - 8 )\)

Understand the impact of withdrawals and the addition of net income on partner's capital accounts.

Ability to apply income division rules according to partnership agreements and activities.

Understand how net income is divided among partners based on capital, salaries, and predetermined ratios.

Knowledge of the allocation of net loss among partners.

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Definitions:

Debt-to-Equity Ratio

A financial measure reflecting the mix of equity and debt financing used to support a company's assets.

Acid-test Ratio

A stringent indicator of a company's short-term liquidity, measuring its ability to cover short-term liabilities with its most liquid assets, excluding inventory.

Working Capital

A financial metric representing the operational liquidity available to a business, calculated as current assets minus current liabilities.

Price-Earnings Ratio

A valuation ratio of a company's current share price compared to its per-share earnings, used to evaluate if the stock is undervalued or overvalued.