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•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 ...
My goal for this unit is to enhance my students’ practice of basic logarithm skills by posing authentic problems that can be modeled by exponential functions, and solved using logarithms and problem-solving strategies.
Introduction to Logarithms. In its simplest form, a logarithm answers the question: How many of one number multiply together to make another number? Example: How many 2 s multiply together to make 8? Answer: 2 × 2 × 2 = 8, so we had to multiply 3 of the 2 s to get 8. So the logarithm is 3. How to Write it. We write it like this: log2(8) = 3.
In this booklet we will demonstrate how logarithmic functions can be used to linearise certain functions, discuss the calculus of the exponential and logarithmic functions and give some useful applications of them.
Every exponential function of the form f (x) bx, where b is a positive real number. =. other than 1, has an inverse function that you can denote by g(x) = logb x. This inverse function is called a logarithmic function with base b.
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. So the expressions like log1 3, log 2 5 numbers (similarly to expressions like. p or log4( 6).
-While logarithmic functions are extremely valuable in many areas of applied mathematics and science, they are also a very powerful problem-solving tool. -We are going to cover how to use logarithms in equations.
