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) \(y = \sqrt [ 3 ] { \frac { C x ^ { 5 / 3 } } { x ^ { 2 } - 1 } }\)

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