Solve the Exponential Equation by Taking the Logarithm of Both $11 - 4 ^ { x ^ { 2 } } = 3$

question 51

Multiple Choice

Solve the exponential equation by taking the logarithm of both sides. $11 - 4 ^ { x ^ { 2 } } = 3$

• A) \(\left\{ \frac { \sqrt { \ln x } } { 4 } \right\}\)
• B) \(\left\{ - \frac { \sqrt { 6 } } { 2 } , \frac { \sqrt { 6 } } { 2 } \right\}\)
• C) \(\{ - \sqrt { \ln x } , \sqrt { \ln x } \}\)
• D) \(\{ \sqrt { 2 } , - \sqrt { 2 } \}\)

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Definitions:

Milgram Experiment

A psychological experiment conducted by Stanley Milgram in the 1960s to study obedience to authority, where participants were instructed to administer electric shocks to another person.

Stanford University Prison Experiment

A psychological study conducted by Philip Zimbardo in 1971 at Stanford University, where students were assigned roles of prisoners and guards to explore the effects of perceived power.

Generalization

Drawing a conclusion about a certain characteristic of a population based on a sample from it.

Logical Support

The provision of reasons or evidence to justify a claim or argument.