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
![**Task:** Solve the following exponential equation without using logarithms.
Equation:
\[ 2^{-5x} = 8 \]
**Solution:**
Explain your process to simplify and solve for \( x \).
(Your final answer should be simplified in the provided box.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F81220fef-c28a-4927-81fd-b964930d6471%2F56b96806-c09f-4162-bd98-b9a77bd22a73%2F4rw87b_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Task:** Solve the following exponential equation without using logarithms.
Equation:
\[ 2^{-5x} = 8 \]
**Solution:**
Explain your process to simplify and solve for \( x \).
(Your final answer should be simplified in the provided box.)
Expert Solution
Step 1
Given that without using the logarithm we need to solve the exponential equation
2-5x = 8
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