Simplify the Expression $\ln \left( e ^ { - 9 x ^ { 2 } + 19 x } \right)$

question 128

Multiple Choice

Simplify the expression. Assume all variables represent positive real numbers. $\ln \left( e ^ { - 9 x ^ { 2 } + 19 x } \right)$

• A) \(- 9 x ^ { 2 } + 19 x\)
• B) \(19 x \cdot \ln \left( e ^ { - 9 x ^ { 2 } } \right)\)
• C) \(1 ^ { - 9 x ^ { 2 } + 19 x }\)
• D) \(e ^ { - 9 x ^ { 2 } + 19 x }\)

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Definitions:

Nonlinear Relationship

A type of relationship between two variables where there is not a straight-line or proportional association.

Null Hypothesis

A hypothesis that suggests no significant difference or effect in a study.

Correlated

When two or more variables are related in some way, showing a tendency to vary together.

Pearson Correlation

A value ranging from +1 to -1 that indicates the degree of linear relationship between two variables, X and Y.