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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Definitions:

Product Q1

Designates the first quarter's product or output in a company's fiscal year.

Product Q19S

A designated name or code for a specific product, suggesting a unique item or version offered by a company.

Machine-Hours

A measure of production activity that indicates the amount of time machines are used in the manufacturing process.

Direct Labor-Hours

The total hours worked by employees directly involved in the manufacturing process, used as a basis for allocating labor costs to products.