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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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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.

( 1 + 0.06 12 ) 12 t = 5

To determine

To calculate: The value of t for the equation (1+0.0612)12t=5.

Explanation

Given Information:

The provided equation is (1+0.0612)12t=5.

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, (1+0.0612)12t=5

Take natural logarithm both sides as,

ln(1+0.0612)12t=ln(5)

Apply the property of lnxn as,

12tln(1+0.0612)=ln(5)

Now, divide both sides by 12ln(1+0

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