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  1. •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 ...

  2. www.mathlogarithms.com › images › ExplainingLogarithmsExplaining Logarithms

    traditional study of logarithms, we have deprived our students of the evolution of ideas and concepts that leads to deeper understanding of many concepts associated with logarithms. As a result, teachers now could hear “(5.2)y = 30.47, y = 6.32 because the calculator says so,” (52 = 25 for goodness sakes!!)

  3. Thus, the purpose of this work is to give you a more intuitive feel for what a logarithm represents, making you more comfortable with what they mean. You'll be able to estimate them in your head, and hopefully this knowledge will stay with you for a long time. A logarithm represents the scale of a number.

  4. For now we need only to observe that it is an extremely important part of solving exponential equations. Our first job is to try to make some sense of logarithms. What is a logarithm ? Of course logarithms have a precise mathematical definition just like all terms in mathematics. So let’s start with that.

  5. 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).

  6. This topic introduces logarithms and exponential equations. Logarithms are used to solve exponential equations, and so are used along with exponential functions when modelling growth and decay. The logarithmic function is an important mathematical function and you will meet it again if you study calculus.

  7. Introduction to Logarithms -A logarithm is the inverse function for an exponent; therefore, we will review exponential functions first. Review of Exponential Functions -An exponential function has the general form (𝑥)=𝑏𝑥, where 0<𝑏<1, or 𝑏>1. -b is called the base and x is called the exponent.

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