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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.

5 2 x = 15

To determine

To calculate: The value of x for the equation 52x=15.

Explanation

Given Information:

The provided equation is 52x=15.

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, 52x=15

Take natural logarithm both sides as,

ln(52x)=ln(15)

Apply the property of lnxn as,

2xln(5)=ln

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