Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Related questions
Question
6
![**Understanding Logarithmic Functions**
**Target 10.2: Understand logarithmic functions.**
6. **Write in logarithmic form.**
\( e^{3.912} = 50 \)
**Explanation:**
To write the equation \( e^{3.912} = 50 \) in logarithmic form, understand that a logarithm answers the question: "To what exponent must the base be raised, to yield a certain number?"
In this equation, the base is \( e \), the exponent is \( 3.912 \), and the result is 50.
Thus, the logarithmic form is:
\[
\log_e 50 = 3.912
\]
which is also commonly written as:
\[
\ln 50 = 3.912
\]
where \(\ln\) denotes the natural logarithm, implying a base of \( e \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa93fe523-bbc5-4ded-98ad-9d42c9cf636e%2F18fbc92d-26d3-4251-8830-ba2b373054be%2F235aifm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Understanding Logarithmic Functions**
**Target 10.2: Understand logarithmic functions.**
6. **Write in logarithmic form.**
\( e^{3.912} = 50 \)
**Explanation:**
To write the equation \( e^{3.912} = 50 \) in logarithmic form, understand that a logarithm answers the question: "To what exponent must the base be raised, to yield a certain number?"
In this equation, the base is \( e \), the exponent is \( 3.912 \), and the result is 50.
Thus, the logarithmic form is:
\[
\log_e 50 = 3.912
\]
which is also commonly written as:
\[
\ln 50 = 3.912
\]
where \(\ln\) denotes the natural logarithm, implying a base of \( e \).
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