Solve the Equation $7 ^ { 5 x } = 4.5$

question 230

Multiple Choice

Solve the equation. Give an approximate solution to four decimal places.
- $7 ^ { 5 x } = 4.5$

• A) \(\{ 0.1546 \}\)
• B) \(\{ 0.1335 \}\)
• C) \(\{ 3.7219 \}\)
• D) \(\{ 3.8647 \}\)

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Definitions:

Activation-Synthesis Theory

A hypothesis about dreaming that suggests dreams are the result of the brain trying to make sense of random neural activity during sleep.

Neural Activity

The electrical and chemical processes within neurons that allow the transmission of signals throughout the nervous system.

Hypnosis

A trance-like mental state induced by a hypnotist, characterized by heightened focus, concentration, and suggestibility.

Heightened Suggestibility

A state in which an individual is more likely to accept and act upon the suggestions of others, often seen in contexts such as hypnosis or certain psychological states.