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Solve the following exponential equation without using logarithms. 2-5X _{ = 8 The solution is x = (Simplify your answer.)

Solve the following exponential equation without using logarithms. 2-5X _{ = 8 The solution is x = (Simplify your answer.)

Calculus: Early Transcendentals
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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**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.)
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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