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  1. 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.

  2. This chapter reviews these laws before recalling exponential functions. Then it explores inverses of exponential functions, which are called logarithms. Recall that in an expression such as an in which a is raised to the power of n, the number a is called the base and n is the exponent.

  3. Numbers and Functions The subject of this course is \functions of one real variable" so we begin by wondering what a real number \really" is, and then, in the next section, what a function is.

  4. After reading this text and / or viewing the video tutorial on this topic you should be able to: explain what is meant by a logarithm. state and use the laws of logarithms. solve simple equations requiring the use of logarithms.

  5. The change of base rule: log a. c. = log. c b. There are two common abbreviations for logarithms to particular bases: log. 10 x is often written as log x. loge x is often written as ln x. The graphs of exponential and logarithmic functions:

  6. 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.

  7. Common Logarithms of the Trigonometric Functions. For each second from a' to 3' and from 89° 57' to 90° For every ten seconds from 3' to 2° and from 88° to 89° 57'. For each minute from 2° to 88°. to Five Decimal Places.

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