T06_Exponentials_and_Logaritms

T06_Exponentials_and_Logaritms - Mathematics Department(MD...

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PMC 0045 Pre-Calculus for Engineering Foundation in Engineering ONLINE NOTES Topic 6 Exponential and Logarithmic Functions FOSEE , MULTIMEDIA UNIVERSITY (436821-T) MELAKA CAMPUS, JALAN AYER KEROH LAMA, 75450 MELAKA, MALAYSIA. Tel 606 252 3594 Fax 606 231 8799 URL: http://fosee.mmu.edu.my/~asd/ Mathematics Department (MD) Centre for Foundation Studies and Extension Education (FOSEE)
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PMC0045 Pre-Calculus for Engineering Topic 6 TOPIC 6: EXPONENTIAL AND LOGARITHMIC FUNCTIONS References : 1. Sullivan, M. (2002), , 6 th Ed., Prentice Hall. 2. Blitzer, R., Goh Wei Wei, et.al. (2005), , Prentice Hall. Objectives: 1. Identify the properties of exponential and logarithmic functions. 2. Graph the exponential and logarithmic functions. 3. Solve the exponential and logarithmic equations. Contents: 6.1 Exponential Functions 6.2 Logarithmic Functions 6.3 Properties of Logarithms 6.4 Logarithmic and Exponential Equations 6.1 EXPONENTIAL FUNCTIONS Definition An exponential function is a function of the form f x a x ( ) = where a is a positive real number and a 1. The domain of f is the set of all real numbers. Theorem : Laws of Exponents. If s , t , a and b are numbers with a > 0 and b > 0 , then i) a a a s t s t . = + ii) ( ) a a s t st = iii) ( ) . ab a b s s s = iv) 1 1 s = v) a a a s s s - = = 1 1 vi) a 0 1 = Graphs of Exponential Functions Properties of the graph of Exponential Functions. a
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This note was uploaded on 10/30/2010 for the course FOSEE CVL1040 taught by Professor None during the Spring '09 term at Multimedia University, Cyberjaya.

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T06_Exponentials_and_Logaritms - Mathematics Department(MD...

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