Provide an appropriate response.Why is finding the value of logaa6 like answering the question "What is the name of the girl whose name is Jane?"

What will be an ideal response?


Answers may vary. One possibility: Like in "What is the name of the girl whose name is Jane?", the answer is found right in the question. A logarithm is an exponent. It represents that number which, when the given base is raised to that power, yields the given exponent. Put differently, its value is the answer to the question "What is the power of the given base that yields the given exponent?".

The base of the given log is "a". The exponent of the given logarithm is "a6" (aka "a to the power 6"). Therefore, its value answers the question "What is the power of a that yields a to the power 6"? The answer is obviously "6".

Question:

What is the name=What is the power
of the girl=of a
whose name is=that yields a to the power
Jane?=6?

Answer:
Jane=6

Mathematics

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