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  1. www.ibmathematics.org › wp-content › uploadsIntro to logarithms

    We have the following de nition of logarithms: What does it mean? First of all the assumptions (restrictions) are important. The number a, called the base of the logarithm, has to be greater than 0 and cannot be equal to 1. The number b (which we take the logarithm of) has to be greater than 0. 6).

  2. mathcs.pugetsound.edu › ~aasmith › logarithmsUnderstanding Logarithms Intuitively - University of Puget Sound

    Logarithms make a lot of people anxious. A lot of this has to do with the way they're often taught in high school and secondary school: by memorizing all the proper steps, without imparting much deeper meaning. For example, maybe you were once taught to solve problems like this: log7 49 = ?

  3. www.mathcentre.ac.uk › resources › uploadedLogarithms - mathcentre.ac.uk

    •solve simple equations requiring the use of logarithms. Contents 1. Introduction 2 2. Why do we study logarithms ? 2 3. What is a logarithm ? if x = an then log a x = n 3 4. Exercises 4 5. The first law of logarithms log a xy = log a x+log a y 4 6. The second law of logarithms log a xm = mlog a x 5 7. The third law of logarithms log a x y ...

  4. www.adelaide.edu.au › mathslearning › uaTopic 8 Logarithms - The University of Adelaide

    We use log as an abbreviation for the word logarithm. To find the value of a logarithm we need to solve an exponential equation. Example (a) The solution of 2x = 8 is x = 3. We can write this in logarithm notation as log 2 8 = 3 ‘log of 8 to base 2 is 3’ (b) x = 5 is the solution of 2x = 32. We can write this using logarithms as log 2

  5. zhaju.github.io › Math › logarithmsIntro to Logarithms - GitHub Pages

    While we have introduced logarithms with a changeable base, there are two main bases that are found on most scienti c calculators, and are used more than others. Firstly, the common logarithm, most commonly written as just log(x).

  6. sites.radford.edu › ~jmwojdak › LogarithmsLogarithms 1. Common Logarithm - Radford University

    Logarithms 1. Common Logarithm The term “logarithm” comes from combining the two Greek terms logos (“to calculate”) and arithmos (“a number”). Developed by John Napier in 1614, the purpose of a logarithm is to do multiplication and division by basic addition and subtraction.

  7. www.virtuallearningacademy.net › MATHADVMU30Introduction_LogarithmsINTRODUCTION TO LOGARITHMS - virtuallearningacademy.net

    In this unit you will examine the definition and inverse relationship with the exponential function, practice the laws of logarithms, solve logarithmic equations, and explore a more efficient method for solving equations using the “Change of Base” formula for logarithms.