   Chapter 4.4, Problem 50E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# Solving Exponential and Logarithmic Equations In Exercises 47–68, solve for x or t. See Examples 5 and 6. e − 0.5 x = 0.075

To determine

To calculate: The value of x for the equation e0.5x=0.075.

Explanation

Given Information:

The provided equation is e0.5x=0.075.

Formula used:

The inverse property of logarithms for the expression lnex is lnex=x.

Calculation:

Consider the provided equation, e0.5x=0.075

Take natural logarithm both sides as,

e0.5x=0.075ln(e0.5x)=ln(0.075)

Apply the inverse property of lnex as,

ln(e0

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