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) \(\frac { 4 } { 3 } \ln ( x + 5 ) + \frac { 4 } { 3 } \ln ( x - 2 ) - \frac { 16 } { 3 } \ln ( x - 8 )\)

---

Definitions:

Current Liabilities

Short-term financial obligations that a company owes and is expected to pay within one year or within the normal operating cycle.

Current Assets

Assets that are expected to be converted into cash, sold, or consumed within one year or within the business's operating cycle, whichever is longer.

Cash Flow

The total amount of money being transferred into and out of a business, affecting its liquidity.

Receipts

Documentation of a transaction that provides proof of payment.