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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.

2 1 x = 6

To determine

To calculate: The value of x for the equation 21x=6.

Explanation

Given Information:

The provided equation is 21x=6.

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, 21x=6.

Take natural logarithm both sides as,

ln(21x)=ln(6)

Apply the property of lnxn as,

(1x)ln(2)=ln(6)

Now, divide both sides by ln(2) as,

(1x)&#

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