Cuemath
Cuemath: Euler's Number
You will learn about Euler's Number with simulations and practice questions. After this lesson, you will be able to easily solve problems on Euler's number value, Euler's number calculator, Euler's number proof, and Euler's number digit.
Math Notes and Math Tests
Pre Calculus Notes: (More) Properties of Logs [Pdf]
The resource investigates properties of logarithmic functions. Topics examined are laws of exponents, expanding logarithmic expressions, condensing logarithmic expressions, and the change of base formula. Class notes and examples are...
Purple Math
Purplemath: Change of Base
This section of a Purplemath lesson gives the formula for a change of base with several examples. The lesson gives examples of typical problems involving changing the base of logarthims including: evaluating, converting to another base;...
Wolfram Research
Wolfram Math World: Scientific Notation
This MathWorld site gives a precise definition of scientific notation; included is how to determine the order of magnitude of a number with respect to scientific notation. An understanding of logarithms is useful in utilizing this site.
Richland Community College
Richland Community College: Exponential Models
This site from Richland Community College contains specific examples of where logarithmic and exponential formulas are used, including: exponential growth and decay, Gaussian, logistics growth, and logarithmic.
Interactive Mathematics
Interactive Mathematics: Applications of Derivatives
The derivatives of logarithmic and exponential functions are used in problems dealing with earthquake measurement and air resistance. The problems allow students to see how these derivatives are applied with practice.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: About "E"
This site gives a discussion about e, the base of the natural logarithm. The site contains history of this real number a discussion on the rationality of the number and how to approximate the value of e. The site contains numerous links...
Math2
Math2.org: Table of Integrals
Seven tables are provided which give the rules for integrating powers of x, exponential and logarithmic integrals, trigonometric integrals, and hyperbolic integrals. Very detailed step-by-step proofs are given for some of the more...
Math2
Math2.org: Table of Derivatives
A lengthy list of the rules of derivatives. Examples shown include the power of x derivatives, exponential and logarithmic derivatives, trigonometric derivatives, and hyperbolic derivatives. Several of the rules have their proofs...
Windstream
Ojk's Precalculus Study Page: Change of Base Formula
An introduction to logarithms with bases other than 10 and e, and how to work with them when solving equations. This tutorial includes lots of examples and exercises with solutions.
Math Medics
S.o.s. Math: Exponential Functions
S.O.S. Math provides overviews, that include graphs, of the exponential function and the logarithmic function.
Interactive Mathematics
Interactive Mathematics: The General Power Rule
Using the power rule, integration is applied to trigonometric and logarithmic functions. Several examples demonstrate the process with detailed solutions.
Curated OER
Integrated Publishing: Common Logarithms
Integrated Publishing offers this excellent page specifically on common logarithms.
Curated OER
Integrated Publishing: Common Logarithms
Integrated Publishing offers this excellent page specifically on common logarithms.
Curated OER
Integrated Publishing: Common Logarithms
Integrated Publishing offers this excellent page specifically on common logarithms.
University of California
University of California: Logarithmic Differentation
Online notes with examples and solutions.
Math2
Math2.org: Series Expansions
A thorough review of calculus series. Links direct the student to the basic properties of series, as well as to explanations and examples of convergence tests in series. The expansions for exponential, logarithmic, and root functions and...
Math Medics
S.o.s. Math: Solving Exponential Equations
Examples showing how to solve the exponential equation by using logarithms. It also includes a set of exercises to practice with.
Science Buddies
Science Buddies: Make Your Own P H Paper
In this "kitchen chemistry" project about acid/base chemistry, you will measure the acidity or alkalinity of a solution using a logarithmic scale called the pH scale. As you learn about the pH scale, you will have the chance to make your...
TeachEngineering
Teach Engineering: Light Intensity Lab
Students complete this Beer's Law activity in class. Students examine the attenuation of various thicknesses of transparencies. From this activity, students will understand that different substances absorb light differently. This can...
Chemistry Collective
Chem Collective: Determination of the P H Scale
This virtual lab activity where students perform the method of successive dilutions using HCl, NaOH, a pH meter, and universal indicator solution to help understand the logarithmic nature of the pH scale.
Texas Education Agency
Texas Gateway: The Language of Physics: Physical Quantities and Units
By the end of this section, you will be able to associate physical quantities with their International System of Units (SI) and perform conversions among SI units using scientific notation; relate measurement uncertainty to significant...
University of Vienna (Austria)
Maths Online: Recognize Functions 3
An excellent place to test your ability to recognize the graphs of sine and cosine and their various associated forms. A Java applet is also included to plot your own function.
University of Vienna (Austria)
The Graphs of Sin, Cos, and Tan Maths Online
This applet allows the user to create the graphs of sin, cos, and tan by moving a scroll bar. The user can watch the unit circle and the graph simultaneously to see how the two are related. The user may also choose to see the angle...
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