Find All the Real-Number Roots of the Equations $\ln \left( x ^ { 11 } \right) = 11 \ln x$

question 18

Multiple Choice

Find all the real-number roots of the equations. $\ln \left( x ^ { 11 } \right) = 11 \ln x$ $( \ln y ) ^ { 11 } = 11 \ln y$

• A) \(x > 0 ; y = 1 , y = \frac { e ^ { 11 } } { 10 }\)
• B) \(x = 1 ; y = e ^ { \pm \sqrt [ 10 ] { 11 } }\)
• C) \(x > 0 ; y = e ^ { \pm \sqrt [ 11 ] { 10 } }\)
• D) \(x = 1 ; y = 1 , y = e ^ { \sqrt [ 11 ] { 10 } }\)
• E) \(x > 0 ; y = 1 , y = e ^ { \pm \sqrt [ 10 ] { 11 } }\)

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