Determine the Real Solutions to the System of Nonlinear Equations $$\ln x = 3 \ln y$$

question 74

Multiple Choice

Determine the real solutions to the system of nonlinear equations.
- $$\ln x = 3 \ln y$$
$$3 ^ { x } = 27 ^ { y }$$

• A) \(( 3 \sqrt { 3 } , \sqrt { 3 } )\)
• B) \(( \sqrt { 3 } , 9 )\)
• C) \(( \sqrt { 3 } , 3 \sqrt { 3 } )\)
• D) \(( 9 , \sqrt { 3 } )\)

---

Definitions:

Poverty Threshold

The minimum level of income deemed adequate in a particular country for a person or family to afford basic needs, such as food, housing, and clothing.

Bottom 20 Percent

Refers to the lowest fifth of individuals or households in terms of income or wealth distribution in a given population.

Guaranteed Income Level

A system which ensures individuals or households receive a minimum amount of income, provided by the government or another institution.

Subsistence Income Level

The minimum level of income needed for an individual or family to afford basic necessities of life, such as food, shelter, and clothing.