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,...
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Question
Can you please help me with this problem because I need help, can you do it step by step so I can follow along
![### Problem Statement
4. Approximate \((\ln(4.03))(5.02)^2\).
### Explanation
To solve this problem, we will perform the following steps:
1. **Calculate the natural logarithm** (\(\ln\)) **of 4.03:**
- The natural logarithm function \(\ln(x)\) gives the power to which \(e\) (approximately 2.718) must be raised to equal \(x\).
- Use a calculator or logarithm table to find \(\ln(4.03)\).
2. **Square the value 5.02:**
- \(5.02^2\) means \(5.02\) multiplied by itself.
3. **Multiply the results:**
- Multiple the result of \(\ln(4.03)\) by \(5.02^2\).
### Detailed Steps
1. **Find \(\ln(4.03)\):**
Assume the value of \(\ln(4.03)\) is approximately 1.393 (Consult a calculator or log table for precision).
2. **Square 5.02:**
\[
5.02^2 = 5.02 \times 5.02 = 25.2004
\]
3. **Calculate the final value:**
\[
(\ln(4.03))(5.02)^2 = 1.393 \times 25.2004 \approx 35.1174
\]
### Answer
The approximate value of \((\ln(4.03))(5.02)^2\) is **35.1174**.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F463f1f77-6106-4bd7-a4ec-d9f0e00615dd%2F8384c763-8fcb-4626-aae7-c985b43cb24d%2Fw4hent8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Problem Statement
4. Approximate \((\ln(4.03))(5.02)^2\).
### Explanation
To solve this problem, we will perform the following steps:
1. **Calculate the natural logarithm** (\(\ln\)) **of 4.03:**
- The natural logarithm function \(\ln(x)\) gives the power to which \(e\) (approximately 2.718) must be raised to equal \(x\).
- Use a calculator or logarithm table to find \(\ln(4.03)\).
2. **Square the value 5.02:**
- \(5.02^2\) means \(5.02\) multiplied by itself.
3. **Multiply the results:**
- Multiple the result of \(\ln(4.03)\) by \(5.02^2\).
### Detailed Steps
1. **Find \(\ln(4.03)\):**
Assume the value of \(\ln(4.03)\) is approximately 1.393 (Consult a calculator or log table for precision).
2. **Square 5.02:**
\[
5.02^2 = 5.02 \times 5.02 = 25.2004
\]
3. **Calculate the final value:**
\[
(\ln(4.03))(5.02)^2 = 1.393 \times 25.2004 \approx 35.1174
\]
### Answer
The approximate value of \((\ln(4.03))(5.02)^2\) is **35.1174**.
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