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Express Y as a Function of X 3ln⁡y=13ln⁡x−ln⁡x2−1x4/3+ln⁡C3 \ln y = \frac { 1 } { 3 } \ln x - \ln \frac { x ^ { 2 } - 1 } { x ^ { 4 / 3 } } + \ln C

Question 477

Multiple Choice

Express y as a function of x. The constant C is a positive number.
- 3ln⁡y=13ln⁡x−ln⁡x2−1x4/3+ln⁡C3 \ln y = \frac { 1 } { 3 } \ln x - \ln \frac { x ^ { 2 } - 1 } { x ^ { 4 / 3 } } + \ln C


A) y=Cx1/3(x2−1) 3y = \sqrt [ 3 ] { \frac { C } { x ^ { 1 / 3 } \left( x ^ { 2 } - 1 \right) } }
B) y=Cxx2−13y = \sqrt [ 3 ] { \frac { C x } { x ^ { 2 } - 1 } }
C) y=Cx1/3x2−13y = \sqrt [ 3 ] { \frac { C x ^ { 1 / 3 } } { x ^ { 2 } - 1 } }
D) y=Cx5/3x2−13y = \sqrt [ 3 ] { \frac { C x ^ { 5 / 3 } } { x ^ { 2 } - 1 } }

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