Provide an appropriate response.Why is evaluating lneamuch like answering the question "What is the name of the boy whose name is Jose?"
What will be an ideal response?
Answers may vary. One possibility:
As in "What is the name of the boy whose name is Jose?", 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 natural log, ln, is e. The exponent of the given logarithm isea (that is "e to the power a"). Therefore, its value answers the question "What is the power of e that yields e to the power a?". The answer is obviously "a."
Question:
| What is the name | = | What is the power |
| of the boy | = | of e |
| whose name is | = | that yields e to the power |
| Jose? | = | a? |
Answer:
| Jose | = | a |
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