Use a Change-Of-Base Formula to Rewrite the Logarithm in Terms $y = \log _ { 4 } x$

question 110

Multiple Choice

Use a change-of-base formula to rewrite the logarithm in terms of natural logarithms. $y = \log _ { 4 } x$

• A) \(y = 4 \ln x\)
• B) \(y = \ln ( x - 4 )\)
• C) \(y = \ln x - \ln 4\)
• D) \(y = 4 ^ { x }\)
• E) \(y = \frac { \ln x } { \ln 4 }\)

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Definitions:

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A cerebral hemisphere refers to one of the two halves of the brain in vertebrates, responsible for controlling movement and sensory functions of the opposite side of the body, and associated with different cognitive processes and functions.

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A language that uses manual communication and body language to convey meaning, enabling communication for the deaf and hard of hearing.

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A region in the frontal lobe of the dominant hemisphere of the brain with functions linked to speech production and language processing.

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The outermost layer of the brain, involved in high-level functions such as thought, language, memory, and consciousness.