Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
![The image contains a mathematical problem and multiple-choice options for solving an exponential equation.
**Equation:**
\[ e^{3x} = 8 \]
**Options:**
1. \[ \frac{\ln 8}{3} \]
2. \[ \frac{8}{3 \cdot e} \]
3. \[ \frac{\ln 3}{8} \]
4. \[ (3 \ln 8) \]
Each option is accompanied by a radio button for selection. These options represent potential solutions for \(x\) in the equation given.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdcb945b7-da72-4ec1-9fb8-e69a195c2158%2F012793d9-d152-4e20-8943-3cb33a9a2249%2Fmx20em4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The image contains a mathematical problem and multiple-choice options for solving an exponential equation.
**Equation:**
\[ e^{3x} = 8 \]
**Options:**
1. \[ \frac{\ln 8}{3} \]
2. \[ \frac{8}{3 \cdot e} \]
3. \[ \frac{\ln 3}{8} \]
4. \[ (3 \ln 8) \]
Each option is accompanied by a radio button for selection. These options represent potential solutions for \(x\) in the equation given.
Expert Solution
Step 1
Given
Taking ln (i.e., loge ) on both sides we get
[Applying rule: ]
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