   Chapter 4.4, Problem 54E ### 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. 2 e 3 x − 7 − 6 = 3

To determine

To calculate: The value of x for the equation 2e3x76=3.

Explanation

Given Information:

The provided equation is 2e3x76=3.

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 and greater than 0.

Calculation:

Consider the provided equation, 2e3x76=3.

Add 6 on both sides in the provided equation,

2e3x76+6=3+62e3x7=9

Now, divide both sides by 2 as,

2e3x72=92e3x7=92

Take natural logarithm both sides as,

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