   Chapter 4.4, Problem 65E ### 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. 500 ( 1.07 ) t = 1000

To determine

To calculate: The value of t for the equation 500(1.07)t=1000.

Explanation

Given Information:

The provided equation is 500(1.07)t=1000.

Formula used:

The property of logarithms for the expression lnxn is lnxn=nlnx where x and y are real numbers greater than 0.

Calculation:

Consider the equation, 500(1.07)t=1000

Divide both sides by 500 as,

500(1.07)t500=1000500(1.07)t=2

Take natural logarithm both sides as,

ln(1.07)t=ln(2)

Apply the property of lnxn as,

tln(1

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