Rewrite the Equation in Terms of Base E $$y = 400 ( 3.8 ) ^ { x }$$

question 199

Multiple Choice

Rewrite the equation in terms of base e. Express the answer in terms of a natural logarithm, and then round to three
decimal places.
- $$y = 400 ( 3.8 ) ^ { x }$$

• A) \(y = 400 \mathrm { e } ^ { x \ln 3.8 } , \mathrm { y } = 400 \mathrm { e } ^ { 1.335 \mathrm { x } }\)
• B) \(y = 3.8 \mathrm { e } ^ { x } \ln 400 , y = 3.8 \mathrm { e } ^ { 5.991 x }\)
• C) \(\mathrm { y } = 400 \mathrm { e } ^ { 3.8 \mathrm { x } } , \mathrm { y } = 4002.718 ^ { 1.335 \mathrm { x } }\)

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Definitions:

Thalamus

A structure in the brain that relays sensory and motor signals to the cerebral cortex.

Cerebellum

A region of the brain that plays a vital role in motor control, and may also be involved in some cognitive functions like attention and language.

Pons

A portion of the brainstem that plays a key role in controlling breathing, communication between different parts of the brain, and sensations such as hearing, taste, and balance.

Medulla

A part of the brainstem involved in autonomic functions, such as heartbeat and breathing.