Logarithm Archives - The Nature of Mathematics

Individual Research Projects Section 10.3

September 29, 2015July 15, 2015 by elaine

Project 10.3

Write a paper using population analysis.

To get you started, select five U.S. cities of different sizes. Find the population of these cites in 1980, 1990, 2000, and 2010.

Which city seems to have the greatest growth rate

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Reference Topics 10-1

May 22, 2024July 15, 2015 by elaine

These sites give an overview of logarithm:
http://hyperphysics.phy-astr.gsu.edu/hbasehttps://www.dhttps://www.desmos.com/calculator/ewlhj8j9dfesmos.com/calculator/ewlhj8j9df/logm.html

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Problems 1-4
There are many problems throughout the text labeled IN YOUR OWN WORDS. Just relax; do not be afraid to give your opinion. For the most part, these questions do not have “right” or “wrong” answers. You should spend … See the whole entry

Homework Hints 10-1

May 23, 2024July 15, 2015 by elaine

Problems 1-4
There are many problems throughout the text labeled IN YOUR OWN WORDS. Just relax; do not be afraid to give your opinion. The answers to these questions can be found by reading the text and the ideas discussed … See the whole entry

Section 10.2: Logarithmic Equations

September 25, 2015July 15, 2015 by elaine

10.2 Outline

Fundamental properties
1. logarithmic equation
2. Grant’s tomb properties
  1. x is the exponent on a base b that gives bx.
  2. log_bx is the exponent on a base b that gives x.
Logarithmic equations
1. log of both sides

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Section 10.1: Exponential Equations

September 25, 2015July 15, 2015 by elaine

10.1 Outline

Exponential equation
1. definition
2. evaluate exponentials
Definition of logarithm
1. notation, logarithm, and argument
2. common logarithm
3. natural logarithm
Evaluating logarithms
1. evaluate
2. using calculators
3. change of base
4. exact solution
Exponential equations
1. three types
  1. base 10
  2. base e
  3. base b
  2. micometer

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