Exponential and Logarithmic Functions 2.2 Logarithmic Functions MATH14 • Logarithmic Function with base b • Graph of Logarithmic Function • Natural Logarithmic Function • Properties of Logarithmic Functions • Exponential and Logarithmic Equations Logarithmic Function with base b Definition: The logarithmic function with base b is the inverse of the exponential function with base b. y logb x Note: Dom f if and only if x b y Rng f Logarithmic Function
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Electronic Business E-business (electronic business)‚ derived from such terms as "e-mail" and "e-commerce‚" is the conduct of business on the Internet‚ not only buying and selling but also servicing customers and collaborating with business partners. One of the first to use the term was IBM‚ when‚ in October‚ 1997‚ it launched a thematic campaign built around the term. Today‚ major corporations are rethinking their businesses in terms of the Internet and its new culture and capabilities. Companies
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EXPONENTIAL AND LOGARITHMIC FUNCTIONS I.EXPONENTIAL FUNCTION A. Definition An exponential function is a function defined by f(x) = ax ‚ where a > 0 and a ≠ 1. The domain of the function is the set of real numbers and the range is the set of positive numbers. B. Evaluating Exponential Functions 1. Given: f(x) = 2x‚ find a. f(3) = ____ b. f(5) = _____ c. f(-2) = ______ d. f(-4) = ______ 2. Evaluate f(x) = ( 1)x if 2 a. x = 2 ____ b. x = 4 _____ c. x = -3 ______ d
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W.E.B Du Bois Student’s Name Institutional Affiliation W.E.B Du Bois America at the decades between XIX-XX centuries made its first efforts on the establishment of the democratic and force country. Civil war in the USA between the industrial North and the agrarian slaveholding South became 1861-1865 a turning point in the American history. The period of a post-war emptiness and fatigue came to change the innocent optimism of the young democratic nation
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W.E.B. DuBois expressed his feeling of being a problem for being Black. This problem has become a struggle for DuBois to find himself fit in with his community. Because of this problem‚ DuBois believe that he has a double consciousness. According to DuBois‚ a double consciousness means he has to look at one’s self through the eyes of others to understand people’s perspective toward race. By using his double consciousness‚ DuBois can see that color line that has been hidden in the community and among
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In the early 1900’s both Booker T. Washington and W.E.B Du Bois presented a plan for racial justice. While the two plans fought for the same people‚ their approach‚ ideologies‚ and goals differed. Both men were brave to speak out‚ but overall Du Bois created a plan that was radical and one that represented the African American community well. Du Bois most compelling tool used in his plan for racial justice lies in his word choices. The way he uses metaphors like “the veil” and “double consciousness”
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William Edward Burghardt famously recognized as W.E.B Dubois was born on February 23‚ 1868 in Great Barrington‚ Massachusetts. W.E.B Dubois was famously recognized as an American sociologist‚ historian‚ civil rights activist‚ Pan-Africanist‚ author and editor. W.E.B Dubois was born to parents Alfred Dubois and Mary Silvina Du Bois who was apart of a diminutive group of released blacks. During Dubois’ early childhood‚ his parents got divorced in 1870 when W.E.B was two years of age and he lived with
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Taipei European SchoolMath Portfolio | VINCENT CHEN | Gold Medal Heights Aim: To consider the winning height for the men’s high jump in the Olympic games Years | 1932 | 1936 | 1948 | 1952 | 1956 | 1960 | 1964 | 1968 | 1972 | 1976 | 1980 | Height (cm) | 197 | 203 | 198 | 204 | 212 | 216 | 218 | 224 | 223 | 225 | 236 | Height (cm) Height (cm) As shown from the table above‚ showing the height achieved by the gold medalists at various Olympic games‚ the Olympic games were not held in
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Although Booker T. Washington and W.E.B. Du Bois were born eighteen years apart from each other‚ they both shared a common interest in trying to help get newly naturalised negroes into a predominantly white country. Washington was a slave from the time he was born (1856) until it was abolished after the civil war when he was nine‚ so he remembered his own personal experiences of what that was like. This definitely influenced his address to the Cotton States and INternational Exposition in Atlanta
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LOG INVESTIGATION 1. INTRODUCTION The following assessment aims to investigate logarithms and several different expressions. The following sequences (from now on referred to as P roblem1 ) is in the form of an = logmn mk ‚ where n represents the term number and an represents the given answer. 1. a1 = log2 8‚ a2 = log4 8‚ a3 = log8 8‚ a4 = log16 8‚ a5 = log32 8‚ ... 2. a1 = log3 81‚ a2 = log9 81‚ a3 = log27 81‚ a4 = log81 81‚ ... 3. a1 = log5 25‚ a2 = log25 25‚ a3 = log125 25‚ a4 = log625
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