5.1 Exponential and Logarithmic Functions

5.1 Exponential and Logarithmic Functions - Exponential and...

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Unformatted text preview: Exponential and Logarithmic Functions Logarithmic Section 5.1 nth Roots nth Let c be a real number and n a positive integer: The nth root of c is denoted by either of the nth symbols symbols n c or c 1 n and is defined to be solution of x = c when n is odd; or n The nonnegative solution of The x = c when n is even and c > 0. The The n Defn. of Rational Exponents Defn. t Let c be a positive real number and let k be a Let rational number with positive denominator. rational c In In t k () is defined to be the number c radical notation, t k c= c= k t ( c) k t 1 tk = c 1 k t Laws of Exponents Laws 1. c c = c r 3. s r c r −s 2. s = c c r+s rs (c ) = c rs r r 4. c c 5. = r d d ( cd ) 6. c −r if c ≠ 1 and d ≠ 1, c r = c s iff r = s c = d iff c = d r r r =c d r 1 =r c r Joke Time Joke What What are eyeglasses good for? for? di-vision What What do you get if you divide the circumference of a jack-o-lantern by its diameter? diameter? pumpkin pi ...
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