   Chapter 4.4, Problem 40E ### 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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# Condensing Logarithmic Expressions In Exercises 39–46, use the properties of logarithms to rewrite the expression as the logarithm of a single quantity. (Assume all variables are positive.) See Example 4. ln ( 2 x + 1 ) + ln ( 2 x − 1 )

To determine

To calculate: The reduced expression of the expression ln(2x+1)+ln(2x1) using the properties of logarithms.

Explanation

Given Information:

The provided expression is ln(2x+1)+ln(2x1).

Formula used:

The property of logarithms for the expression ln(xy) is ln(xy)=lnx+lny where x and y are real numbers greater than 0.

Calculation:

Consider the expression, ln(2x+1)+ln(2x1)

Apply the property of ln(xy) in the above expression as,

ln(2x+1)

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