   Chapter 4.4, Problem 52E ### 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. 400 e − 0.0174 t = 1000

To determine

To calculate: The value of t for the equation 400e0.0174t=1000.

Explanation

Given Information:

The provided equation is 400e0.0174t=1000.

Formula used:

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

The property of logarithms for the expression ln(xy) is ln(xy)=lnxlny where x and y are real numbers greater than 0.

Calculation:

Consider the provided equation, 400e0.0174t=1000

Divide both sides by 400 as,

400e0.0174t400=1000400e0.0174t=104

Take natural logarithm both sides as,

e0.0174t=104ln(e0

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