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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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In Exercises 14–16, use the properties of logarithms to rewrite the expression as the logarithm of a single quantity. (Assume all variables are positive.)

3 ln x 2 ln ( x 1 )

To determine

To calculate: The reduced expression of the expression 3lnx2ln(x1) using the properties of logarithms.

Explanation

Given Information:

The provided expression is 3lnx2ln(x1).

Formula used:

The property of logarithms:

(1) lnxn=nlnx

(2) ln(xy)=lnxlny

Where x and y are real numbers greater than 0.

Calculation:

Consider the expression, 3lnx2ln(x1)

Apply the property of lnxn in the above expression as,

3lnx2ln(x1)=ln(<

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