   Chapter 4.4, Problem 66E ### 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 ( 1.06 ) t = 1300

To determine

To calculate: The value of t for the equation 400(1.06)t=1300.

Explanation

Given Information:

The provided equation is 400(1.06)t=1300.

Formula used:

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

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 equation, 400(1.06)t=1300

Divide both sides by 400 as,

400(1.06)t400=1300400(1.06)t=134

Take natural logarithm both sides as,

ln(1

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