Answer The solution of the equation is x ≈ 2.763 Explanation Given information : The equation is e x log 10 x = 7 First, rewrite the equation as, e x log 10 x − 7 = 0 Then, use a graphing utility to graph y = − 7 + e x log 10 x The graph can be represented as, From this graph it is seen that the equation has one solution. By the use of zero or root feature the solution can be approximate to be x ≈ 2.763 Therefore, the solution of the equation is x ≈ 2.763

8th Edition

ISBN: 9780357022078

Author: Larson

Publisher: CENGAGE L

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Question

Chapter 3.4, Problem 102E

To determine

To approximate the solution of the given equation accurate to three decimal places with the use of zero or root feature of a graphing utility

Expert Solution & Answer

Answer to Problem 102E

The solution of the equation is x≈2.763

Explanation of Solution

Given information:

The equation is exlog10x=7

First, rewrite the equation as,

exlog10x−7=0

Then, use a graphing utility to graph

y=−7+exlog10x

The graph can be represented as,

EP PRECALC.GRAPHING APPR.-WEBASSIGN-1YR, Chapter 3.4, Problem 102E

From this graph it is seen that the equation has one solution. By the use of zero or root feature the solution can be approximate to be x≈2.763

Therefore, the solution of the equation is x≈2.763

Chapter 3.4, Problem 101E

Chapter 3.4, Problem 103E

Chapter 3 Solutions

EP PRECALC.GRAPHING APPR.-WEBASSIGN-1YR

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