Express Y as a Function of X $3 \ln y = \frac { 1 } { 3 } \ln x - \ln \frac { x ^ { 2 } - 1 } { x ^ { 4 / 3 } } + \ln C$

question 238

Multiple Choice

Express y as a function of x. The constant C is a positive number.
- $3 \ln y = \frac { 1 } { 3 } \ln x - \ln \frac { x ^ { 2 } - 1 } { x ^ { 4 / 3 } } + \ln C$

• A) \(y = \sqrt [ 3 ] { \frac { C } { x ^ { 1 / 3 } \left( x ^ { 2 } - 1 \right) } }\)
• B) \(y = \sqrt [ 3 ] { \frac { C x } { x ^ { 2 } - 1 } }\)
• C) \(y = \sqrt [ 3 ] { \frac { C x ^ { 1 / 3 } } { x ^ { 2 } - 1 } }\)
• D) \(y = \sqrt [ 3 ] { \frac { C x ^ { 5 / 3 } } { x ^ { 2 } - 1 } }\)

---

Definitions:

Future Cash Flows

Estimates of the amount of money expected to be received or paid out over future periods.

Asset

Resources owned or controlled by a business, expected to provide future economic benefits.

Double-Declining-Balance

A method of accelerated depreciation that doubles the normal depreciation rate, allowing more depreciation in the earlier years of an asset’s life.

Depreciation Expense

The portion of an asset's cost allocated over its useful life to account for its decline in value over time.