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) \(x > 0 ; y = 1 , y = e ^ { \pm \sqrt [ 10 ] { 11 } }\)

---

Definitions:

Flex-hours

A work schedule that allows employees some flexibility in choosing their working hours.

Physical Agent

An entity such as heat, light, or chemicals used in medical treatment to induce changes in the body.

Toxic Substances

Toxic substances are chemicals or compounds that can cause harm to humans, animals, or the environment when they are released or come into contact with living organisms.

Radiation

The emission of energy as electromagnetic waves or as moving subatomic particles, especially high-energy particles that cause ionization.