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

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Chapter 4, Problem 106RE
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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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Changing Bases to Evaluate Logarithms In Exercises 103-106, use the change-of-base formula and a calculator to evaluate the logarithm.

log 4 2 3

To determine

To calculate: The value of the logarithm, log423 using change of base formula and calculator.

Explanation

Given Information:

The provided expression is log423.

Formula used:

If the expression is in the form of logxa=y, then the change of base formula is define by

logxa=lnalnx

Calculation:

Consider the expression, log423

Evaluate the value of expression by applying change of base formula and calculator.

log423=ln(23)ln4

Steps to calculate ln(23)ln4 using T 1−83 graphing utility:

Step 1: Press “ON” button

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Sect-4.1 P-1CPSect-4.1 P-2CPSect-4.1 P-3CPSect-4.1 P-4CPSect-4.1 P-5CPSect-4.1 P-1SWUSect-4.1 P-2SWUSect-4.1 P-3SWUSect-4.1 P-4SWUSect-4.1 P-5SWU
Sect-4.1 P-6SWUSect-4.1 P-7SWUSect-4.1 P-8SWUSect-4.1 P-9SWUSect-4.1 P-10SWUSect-4.1 P-11SWUSect-4.1 P-12SWUSect-4.1 P-13SWUSect-4.1 P-14SWUSect-4.1 P-15SWUSect-4.1 P-16SWUSect-4.1 P-17SWUSect-4.1 P-18SWUSect-4.1 P-1ESect-4.1 P-2ESect-4.1 P-3ESect-4.1 P-4ESect-4.1 P-5ESect-4.1 P-6ESect-4.1 P-7ESect-4.1 P-8ESect-4.1 P-9ESect-4.1 P-10ESect-4.1 P-11ESect-4.1 P-12ESect-4.1 P-13ESect-4.1 P-14ESect-4.1 P-15ESect-4.1 P-16ESect-4.1 P-17ESect-4.1 P-18ESect-4.1 P-19ESect-4.1 P-20ESect-4.1 P-21ESect-4.1 P-22ESect-4.1 P-23ESect-4.1 P-24ESect-4.1 P-25ESect-4.1 P-26ESect-4.1 P-27ESect-4.2 P-1CPSect-4.2 P-2CPSect-4.2 P-3CPSect-4.2 P-4CPSect-4.2 P-5CPSect-4.2 P-1SWUSect-4.2 P-2SWUSect-4.2 P-3SWUSect-4.2 P-4SWUSect-4.2 P-5SWUSect-4.2 P-6SWUSect-4.2 P-7SWUSect-4.2 P-8SWUSect-4.2 P-9SWUSect-4.2 P-10SWUSect-4.2 P-11SWUSect-4.2 P-12SWUSect-4.2 P-1ESect-4.2 P-2ESect-4.2 P-3ESect-4.2 P-4ESect-4.2 P-5ESect-4.2 P-6ESect-4.2 P-7ESect-4.2 P-8ESect-4.2 P-9ESect-4.2 P-10ESect-4.2 P-11ESect-4.2 P-12ESect-4.2 P-13ESect-4.2 P-14ESect-4.2 P-15ESect-4.2 P-16ESect-4.2 P-17ESect-4.2 P-18ESect-4.2 P-19ESect-4.2 P-20ESect-4.2 P-21ESect-4.2 P-22ESect-4.2 P-23ESect-4.2 P-24ESect-4.2 P-25ESect-4.2 P-26ESect-4.2 P-27ESect-4.2 P-28ESect-4.2 P-29ESect-4.2 P-30ESect-4.2 P-31ESect-4.2 P-32ESect-4.2 P-33ESect-4.2 P-34ESect-4.2 P-35ESect-4.2 P-36ESect-4.2 P-37ESect-4.2 P-38ESect-4.2 P-39ESect-4.2 P-40ESect-4.2 P-41ESect-4.2 P-42ESect-4.2 P-43ESect-4.2 P-44ESect-4.2 P-45ESect-4.2 P-46ESect-4.2 P-47ESect-4.2 P-48ESect-4.2 P-49ESect-4.2 P-50ESect-4.2 P-51ESect-4.3 P-1CPSect-4.3 P-2CPSect-4.3 P-3CPSect-4.3 P-4CPSect-4.3 P-5CPSect-4.3 P-6CPSect-4.3 P-1SWUSect-4.3 P-2SWUSect-4.3 P-3SWUSect-4.3 P-4SWUSect-4.3 P-5SWUSect-4.3 P-6SWUSect-4.3 P-7SWUSect-4.3 P-8SWUSect-4.3 P-9SWUSect-4.3 P-10SWUSect-4.3 P-1ESect-4.3 P-2ESect-4.3 P-3ESect-4.3 P-4ESect-4.3 P-5ESect-4.3 P-6ESect-4.3 P-7ESect-4.3 P-8ESect-4.3 P-9ESect-4.3 P-10ESect-4.3 P-11ESect-4.3 P-12ESect-4.3 P-13ESect-4.3 P-14ESect-4.3 P-15ESect-4.3 P-16ESect-4.3 P-17ESect-4.3 P-18ESect-4.3 P-19ESect-4.3 P-20ESect-4.3 P-21ESect-4.3 P-22ESect-4.3 P-23ESect-4.3 P-24ESect-4.3 P-25ESect-4.3 P-26ESect-4.3 P-27ESect-4.3 P-28ESect-4.3 P-29ESect-4.3 P-30ESect-4.3 P-31ESect-4.3 P-32ESect-4.3 P-33ESect-4.3 P-34ESect-4.3 P-35ESect-4.3 P-36ESect-4.3 P-37ESect-4.3 P-38ESect-4.3 P-39ESect-4.3 P-40ESect-4.3 P-41ESect-4.3 P-42ESect-4.3 P-43ESect-4.3 P-44ESect-4.3 P-45ESect-4.3 P-46ESect-4.3 P-47ESect-4.3 P-48ESect-4.3 P-49ESect-4.3 P-50ESect-4.3 P-51ESect-4.3 P-52ESect-4.3 P-53ESect-4.3 P-1QYSect-4.3 P-2QYSect-4.3 P-3QYSect-4.3 P-4QYSect-4.3 P-5QYSect-4.3 P-6QYSect-4.3 P-7QYSect-4.3 P-8QYSect-4.3 P-9QYSect-4.3 P-10QYSect-4.3 P-11QYSect-4.3 P-12QYSect-4.3 P-13QYSect-4.3 P-14QYSect-4.3 P-15QYSect-4.3 P-16QYSect-4.3 P-17QYSect-4.3 P-18QYSect-4.3 P-19QYSect-4.3 P-20QYSect-4.3 P-21QYSect-4.3 P-22QYSect-4.3 P-23QYSect-4.3 P-24QYSect-4.3 P-25QYSect-4.4 P-1CPSect-4.4 P-2CPSect-4.4 P-3CPSect-4.4 P-4CPSect-4.4 P-5CPSect-4.4 P-6CPSect-4.4 P-7CPSect-4.4 P-1SWUSect-4.4 P-2SWUSect-4.4 P-3SWUSect-4.4 P-4SWUSect-4.4 P-5SWUSect-4.4 P-6SWUSect-4.4 P-7SWUSect-4.4 P-8SWUSect-4.4 P-9SWUSect-4.4 P-10SWUSect-4.4 P-1ESect-4.4 P-2ESect-4.4 P-3ESect-4.4 P-4ESect-4.4 P-5ESect-4.4 P-6ESect-4.4 P-7ESect-4.4 P-8ESect-4.4 P-9ESect-4.4 P-10ESect-4.4 P-11ESect-4.4 P-12ESect-4.4 P-13ESect-4.4 P-14ESect-4.4 P-15ESect-4.4 P-16ESect-4.4 P-17ESect-4.4 P-18ESect-4.4 P-19ESect-4.4 P-20ESect-4.4 P-21ESect-4.4 P-22ESect-4.4 P-23ESect-4.4 P-24ESect-4.4 P-25ESect-4.4 P-26ESect-4.4 P-27ESect-4.4 P-28ESect-4.4 P-29ESect-4.4 P-30ESect-4.4 P-31ESect-4.4 P-32ESect-4.4 P-33ESect-4.4 P-34ESect-4.4 P-35ESect-4.4 P-36ESect-4.4 P-37ESect-4.4 P-38ESect-4.4 P-39ESect-4.4 P-40ESect-4.4 P-41ESect-4.4 P-42ESect-4.4 P-43ESect-4.4 P-44ESect-4.4 P-45ESect-4.4 P-46ESect-4.4 P-47ESect-4.4 P-48ESect-4.4 P-49ESect-4.4 P-50ESect-4.4 P-51ESect-4.4 P-52ESect-4.4 P-53ESect-4.4 P-54ESect-4.4 P-55ESect-4.4 P-56ESect-4.4 P-57ESect-4.4 P-58ESect-4.4 P-59ESect-4.4 P-60ESect-4.4 P-61ESect-4.4 P-62ESect-4.4 P-63ESect-4.4 P-64ESect-4.4 P-65ESect-4.4 P-66ESect-4.4 P-67ESect-4.4 P-68ESect-4.4 P-69ESect-4.4 P-70ESect-4.4 P-71ESect-4.4 P-72ESect-4.4 P-73ESect-4.4 P-74ESect-4.4 P-75ESect-4.4 P-76ESect-4.4 P-77ESect-4.4 P-78ESect-4.4 P-79ESect-4.4 P-80ESect-4.4 P-81ESect-4.4 P-82ESect-4.4 P-83ESect-4.4 P-84ESect-4.4 P-85ESect-4.4 P-86ESect-4.4 P-87ESect-4.4 P-88ESect-4.4 P-89ESect-4.4 P-90ESect-4.4 P-91ESect-4.4 P-92ESect-4.4 P-93ESect-4.4 P-94ESect-4.4 P-95ESect-4.4 P-96ESect-4.4 P-97ESect-4.4 P-98ESect-4.5 P-1CPSect-4.5 P-2CPSect-4.5 P-3CPSect-4.5 P-4CPSect-4.5 P-5CPSect-4.5 P-6CPSect-4.5 P-7CPSect-4.5 P-8CPSect-4.5 P-9CPSect-4.5 P-10CPSect-4.5 P-1SWUSect-4.5 P-2SWUSect-4.5 P-3SWUSect-4.5 P-4SWUSect-4.5 P-5SWUSect-4.5 P-6SWUSect-4.5 P-7SWUSect-4.5 P-8SWUSect-4.5 P-9SWUSect-4.5 P-10SWUSect-4.5 P-1ESect-4.5 P-2ESect-4.5 P-3ESect-4.5 P-4ESect-4.5 P-5ESect-4.5 P-6ESect-4.5 P-7ESect-4.5 P-8ESect-4.5 P-9ESect-4.5 P-10ESect-4.5 P-11ESect-4.5 P-12ESect-4.5 P-13ESect-4.5 P-14ESect-4.5 P-15ESect-4.5 P-16ESect-4.5 P-17ESect-4.5 P-18ESect-4.5 P-19ESect-4.5 P-20ESect-4.5 P-21ESect-4.5 P-22ESect-4.5 P-23ESect-4.5 P-24ESect-4.5 P-25ESect-4.5 P-26ESect-4.5 P-27ESect-4.5 P-28ESect-4.5 P-29ESect-4.5 P-30ESect-4.5 P-31ESect-4.5 P-32ESect-4.5 P-33ESect-4.5 P-34ESect-4.5 P-35ESect-4.5 P-36ESect-4.5 P-37ESect-4.5 P-38ESect-4.5 P-39ESect-4.5 P-40ESect-4.5 P-41ESect-4.5 P-42ESect-4.5 P-43ESect-4.5 P-44ESect-4.5 P-45ESect-4.5 P-46ESect-4.5 P-47ESect-4.5 P-48ESect-4.5 P-49ESect-4.5 P-50ESect-4.5 P-51ESect-4.5 P-52ESect-4.5 P-53ESect-4.5 P-54ESect-4.5 P-55ESect-4.5 P-56ESect-4.5 P-57ESect-4.5 P-58ESect-4.5 P-59ESect-4.5 P-60ESect-4.5 P-61ESect-4.5 P-62ESect-4.5 P-63ESect-4.5 P-64ESect-4.5 P-65ESect-4.5 P-66ESect-4.5 P-67ESect-4.5 P-68ESect-4.5 P-69ESect-4.5 P-70ESect-4.5 P-71ESect-4.5 P-72ESect-4.5 P-73ESect-4.5 P-74ESect-4.5 P-75ESect-4.5 P-76ESect-4.5 P-77ESect-4.5 P-78ESect-4.5 P-79ESect-4.5 P-80ESect-4.5 P-81ESect-4.5 P-82ESect-4.5 P-83ESect-4.6 P-1CPSect-4.6 P-2CPSect-4.6 P-3CPSect-4.6 P-4CPSect-4.6 P-1SWUSect-4.6 P-2SWUSect-4.6 P-3SWUSect-4.6 P-4SWUSect-4.6 P-5SWUSect-4.6 P-6SWUSect-4.6 P-7SWUSect-4.6 P-8SWUSect-4.6 P-9SWUSect-4.6 P-10SWUSect-4.6 P-11SWUSect-4.6 P-12SWUSect-4.6 P-1ESect-4.6 P-2ESect-4.6 P-3ESect-4.6 P-4ESect-4.6 P-5ESect-4.6 P-6ESect-4.6 P-7ESect-4.6 P-8ESect-4.6 P-9ESect-4.6 P-10ESect-4.6 P-11ESect-4.6 P-12ESect-4.6 P-13ESect-4.6 P-14ESect-4.6 P-15ESect-4.6 P-16ESect-4.6 P-17ESect-4.6 P-18ESect-4.6 P-19ESect-4.6 P-20ESect-4.6 P-21ESect-4.6 P-22ESect-4.6 P-23ESect-4.6 P-24ESect-4.6 P-25ESect-4.6 P-26ESect-4.6 P-27ESect-4.6 P-28ESect-4.6 P-29ESect-4.6 P-30ESect-4.6 P-31ESect-4.6 P-32ESect-4.6 P-33ESect-4.6 P-34ESect-4.6 P-35ESect-4.6 P-36ESect-4.6 P-37ESect-4.6 P-38ESect-4.6 P-39ESect-4.6 P-40ESect-4.6 P-41ESect-4.6 P-42ESect-4.6 P-43ESect-4.6 P-44ESect-4.6 P-45ESect-4.6 P-46ECh-4 P-1RECh-4 P-2RECh-4 P-3RECh-4 P-4RECh-4 P-5RECh-4 P-6RECh-4 P-7RECh-4 P-8RECh-4 P-9RECh-4 P-10RECh-4 P-11RECh-4 P-12RECh-4 P-13RECh-4 P-14RECh-4 P-15RECh-4 P-16RECh-4 P-17RECh-4 P-18RECh-4 P-19RECh-4 P-20RECh-4 P-21RECh-4 P-22RECh-4 P-23RECh-4 P-24RECh-4 P-25RECh-4 P-26RECh-4 P-27RECh-4 P-28RECh-4 P-29RECh-4 P-30RECh-4 P-31RECh-4 P-32RECh-4 P-33RECh-4 P-34RECh-4 P-35RECh-4 P-36RECh-4 P-37RECh-4 P-38RECh-4 P-39RECh-4 P-40RECh-4 P-41RECh-4 P-42RECh-4 P-43RECh-4 P-44RECh-4 P-45RECh-4 P-46RECh-4 P-47RECh-4 P-48RECh-4 P-49RECh-4 P-50RECh-4 P-51RECh-4 P-52RECh-4 P-53RECh-4 P-54RECh-4 P-55RECh-4 P-56RECh-4 P-57RECh-4 P-58RECh-4 P-59RECh-4 P-60RECh-4 P-61RECh-4 P-62RECh-4 P-63RECh-4 P-64RECh-4 P-65RECh-4 P-66RECh-4 P-67RECh-4 P-68RECh-4 P-69RECh-4 P-70RECh-4 P-71RECh-4 P-72RECh-4 P-73RECh-4 P-74RECh-4 P-75RECh-4 P-76RECh-4 P-77RECh-4 P-78RECh-4 P-79RECh-4 P-80RECh-4 P-81RECh-4 P-82RECh-4 P-83RECh-4 P-84RECh-4 P-85RECh-4 P-86RECh-4 P-87RECh-4 P-88RECh-4 P-89RECh-4 P-90RECh-4 P-91RECh-4 P-92RECh-4 P-93RECh-4 P-94RECh-4 P-95RECh-4 P-96RECh-4 P-97RECh-4 P-98RECh-4 P-99RECh-4 P-100RECh-4 P-101RECh-4 P-102RECh-4 P-103RECh-4 P-104RECh-4 P-105RECh-4 P-106RECh-4 P-107RECh-4 P-108RECh-4 P-109RECh-4 P-110RECh-4 P-111RECh-4 P-112RECh-4 P-113RECh-4 P-114RECh-4 P-115RECh-4 P-116RECh-4 P-117RECh-4 P-118RECh-4 P-119RECh-4 P-120RECh-4 P-121RECh-4 P-122RECh-4 P-123RECh-4 P-124RECh-4 P-125RECh-4 P-126RECh-4 P-127RECh-4 P-128RECh-4 P-129RECh-4 P-130RECh-4 P-131RECh-4 P-132RECh-4 P-1TYSCh-4 P-2TYSCh-4 P-3TYSCh-4 P-4TYSCh-4 P-5TYSCh-4 P-6TYSCh-4 P-7TYSCh-4 P-8TYSCh-4 P-9TYSCh-4 P-10TYSCh-4 P-11TYSCh-4 P-12TYSCh-4 P-13TYSCh-4 P-14TYSCh-4 P-15TYSCh-4 P-16TYSCh-4 P-17TYSCh-4 P-18TYSCh-4 P-19TYSCh-4 P-20TYSCh-4 P-21TYSCh-4 P-22TYSCh-4 P-23TYSCh-4 P-24TYSCh-4 P-25TYSCh-4 P-26TYSCh-4 P-27TYSCh-4 P-28TYSCh-4 P-29TYS

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BLACKJACK In the game of blackjack, a 2-card hand consisting of an ace and either a face card or a 10 is called...

Finite Mathematics for the Managerial, Life, and Social Sciences

Finding a Degree In Exercises 5156, determine the degree of the Maclaurin polynomial required for the error in ...

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Sometimes, Always, or Never: If for all n and both {an} and {cn} converge, then{bn} converges.

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Gompertz Equation Another model that can be used to represent population growth is the Gompertz equation, which...

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Intersection of a Plane and a LineIn Exercises 8386, find the point(s) of intersection (if any) of the plane an...

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For f(x) = 10x2, f′(3) = _____. 10 20 30 60

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In Figure 11.5, we show three combinations of main effects and interactions for a 2 2 factorial design. Using ...

Research Methods for the Behavioral Sciences (MindTap Course List)

Discovery and Writing As temperature increases on the Fahrenheit scale, it also increases on the Celsius scale....

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The article Impact of Berkeley Excise Tax on Sugar-Sweetened Beverage Consumption (American Journal of Public H...

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Express the common fractions as decimal fractions. Express the answer to 4 decimal places. 27. 47

Mathematics For Machine Technology

Three different methods for assembling a product were proposed by an industrial engineer. To investigate the nu...

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Refer to exercise 21, where data on the production volume x and total cost y for a particular manufacturing ope...

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

In addition to the key words, you should also be able to define each of the following terms: Scatter plot Linea...

Research Methods for the Behavioral Sciences (MindTap Course List)

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