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CalculusCalculus: An Applied Approach (MindTap Course List)10th Edition

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Chapter 4.4, Problem 43E
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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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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.

5 ln ( x − 6 ) + 1 2 ln ( 4 x + 1 )

To determine

To calculate: The reduced form of the expression 5ln(x−6)+12ln(4x+1) using the properties of logarithms.

Explanation

Given Information:

The provided expression is 5ln(x−6)+12ln(4x+1).

Formula used:

The property of logarithms for the expression lnxn is lnxn=nlnx where x and y are real numbers greater than 0.

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 provided expression, 5ln(x−6)+12ln(4x+1)

Apply the property of lnxn in the above expression as,

5ln(x−6)+12ln(4x+1)=ln(x−6)5+ln(4x+1)

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The following data show the brand, price (), and the overall score for six stereo headphones that were tested b...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

In Exercises 13-16, use the Annual Payout Annuity with COLA Formula to find the deposit necessary to receive mo...

Mathematics: A Practical Odyssey

Find each percent (rate). Round the answers to 2 decimal places when necessary. 45. What percent of 34is 38 ?

Mathematics For Machine Technology

consider the following hypothesis test. H0: 10 Ha: 10 The sample size is 120 and the population standard de...

Statistics for Business & Economics, Revised (MindTap Course List)

Is ultrasound a reliable method for determining the gender of an unborn baby? The accompanying data on 1000 bir...

Introduction To Statistics And Data Analysis

Identify the statistical procedure used to determine a correlation for different types of data and explain what...

Research Methods for the Behavioral Sciences (MindTap Course List)

Explain how a matched-subjects design attempts to avoid the major problem with between-subjects experiments (in...

Research Methods for the Behavioral Sciences (MindTap Course List)

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