Solve the following exponential equation. Express the solution set in terms of natural logarithms or common logarithms. Then, use a calculator to obtain a decimal approximation for the sola e 4x +2 e 2x - 8 = 0 The solution set expressed in terms of logarithms is (Use a comma to separate answers as needed. Simplify your answer. Use integers or fractions for any numbers in the expression. Use In for natural logarithm and log for common logarithm Now use a calculator to obtain a decimal approximation for the solution. The solution set is (Use a comma to separate answers as needed. Round to two decimal places as needed.)
Solve the following exponential equation. Express the solution set in terms of natural logarithms or common logarithms. Then, use a calculator to obtain a decimal approximation for the sola e 4x +2 e 2x - 8 = 0 The solution set expressed in terms of logarithms is (Use a comma to separate answers as needed. Simplify your answer. Use integers or fractions for any numbers in the expression. Use In for natural logarithm and log for common logarithm Now use a calculator to obtain a decimal approximation for the solution. The solution set is (Use a comma to separate answers as needed. Round to two decimal places as needed.)
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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![**Solve the following exponential equation.**
**Problem Statement:**
Express the solution set in terms of natural logarithms or common logarithms. Then, use a calculator to obtain a decimal approximation for the solution.
\[ e^{4x} + 2e^{2x} - 8 = 0 \]
---
**Instructions:**
1. **Express the solution set using logarithms:**
Use natural logarithm (ln) or common logarithm (log) to express the answer.
(Use a comma to separate answers as needed. Simplify your answer. Use integers or fractions for any numbers in the expression. Use ln for natural logarithm and log for common logarithm.)
2. **Decimal Approximation:**
Use a calculator to obtain a decimal approximation for the solution.
(Use a comma to separate answers as needed. Round to two decimal places as needed.)
---
**Answer Format:**
Enter your answer in each of the answer boxes provided.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa960f0fb-409e-4fad-9a6e-22a1d290aaa3%2F0747efae-4612-4b47-875f-1ab0e3f7be7d%2Fdsxbdwg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Solve the following exponential equation.**
**Problem Statement:**
Express the solution set in terms of natural logarithms or common logarithms. Then, use a calculator to obtain a decimal approximation for the solution.
\[ e^{4x} + 2e^{2x} - 8 = 0 \]
---
**Instructions:**
1. **Express the solution set using logarithms:**
Use natural logarithm (ln) or common logarithm (log) to express the answer.
(Use a comma to separate answers as needed. Simplify your answer. Use integers or fractions for any numbers in the expression. Use ln for natural logarithm and log for common logarithm.)
2. **Decimal Approximation:**
Use a calculator to obtain a decimal approximation for the solution.
(Use a comma to separate answers as needed. Round to two decimal places as needed.)
---
**Answer Format:**
Enter your answer in each of the answer boxes provided.
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