   Chapter 4.6, Problem 1SWU ### 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
1 views

# In Exercises 1-4, solve the equation for k. 12 = 24 e 4 k

To determine

To calculate: The value of k in the equation 12=24e4k.

Explanation

Given Information:

The provided equation is 12=24e4k.

Formula used:

If f(x)=ex is a function then the natural logarithm of the function that is f(x)=lnex is given by the inverse property that is,

lnex=x

If the function is f(x)=lnab, then the property of natural logarithm is given by.

lnab=lnalnb

Calculation:

Consider the equation, 12=24e4k

Divide both sides by 24.

1224=2424e4k12=e4k

Take natural logarithm each side

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