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•explain what is meant by a logarithm •state and use the laws of logarithms •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 ...
This leaflet provides information on symbols and notation commonly used in mathematics. It is designed to enable further information to be found from resources in mathcentre (www.mathcentre.ac.uk). In the table below, the symbol or notation is given in column one.
See the Supplementary sheet 2 ‘Logarithmic scales and log-log graphs’ on CD-ROM if you are interested in discovering logarithms for yourself. the right-hand side, and if the right-hand side is true then so is the left-hand side. When it appears between two statements, it means that the statements are equivalent and you can switch between them.
Taking logarithms is the reverse of taking exponents, so you must have a good grasp on exponents before you can hope to understand logarithms properly. We begin the study of logarithms with a look at logarithms to base 10.
-A logarithm is the inverse function for an exponent; therefore, we will review exponential functions first. -b is called the base and x is called the exponent. < 1, or > 1. -Let’s see how an exponential function works, we will look at the function table below.
A logarithm represents the scale of a number. Think of all the one-digit numbers, 1 through 9. (For now we're skipping over 0.) Of course these numbers are all di erent, but they're close enough to each other to be easily comparable. However the two-digit numbers, 10 through 99, are on a totally di erent scale. They're easily comparable to each.
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).
