Find K Such That $3 ^{- x / 2}$ = $\mathrm { e } ^ { \mathrm { kx } }$

question 63

Multiple Choice

Find k such that $3 ^{- x / 2}$ = $\mathrm { e } ^ { \mathrm { kx } }$ for all x.

• A) - \(\frac { 1 } { 2 }\) ln 3
• B) ln 3
• C) \(\frac { 1 } { 2 }\) ln 3
• D) ln - \(\frac { 3 } { 2 }\)

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Definitions:

Spinal Cord

The long, thin, tubular structure made up of nervous tissue that extends from the brainstem to the lower back, carrying nerve impulses between the brain and the rest of the body.

Nervous Tissue

A type of tissue in the body made up of neurons and glial cells that forms the brain, spinal cord, and nerves, responsible for sensing stimuli and transmitting signals.

Dense Regular Collagenous

A type of connective tissue that has closely packed collagen fibers aligned in a parallel manner, providing high tensile strength in one direction, commonly found in tendons and ligaments.

Tendons

Fibrous connective tissues that attach muscle to bone, allowing for the transmission of forces to facilitate movement.