'Log function' presentation slideshows

Exponential & Logarithmic Functions

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MT263F Discrete Structures

MT263F Discrete Structures. Li Tak Sing ( ??? ). Functions. If A and B are sets and so that each element in A is associated with exactly one element in B. Such association is called a function from A to B.

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Chapter 3. Elementary Functions

Chapter 3. Elementary Functions. Consider elementary functions studied in calculus and define corresponding functions of a complex variable. To be specific, define analytic functions of a complex variable z that reduce to the elementary functions in calculus when z = x + i 0 .

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Logarithms

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Logarithmic Functions and Models

Logarithmic Functions and Models. Lesson 5.4. A New Function. Consider the exponential function y = 10 x Based on that function, declare a new function x = log 10 y You should be able to see that these are inverse functions In general The log of a number is an exponent.

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Section 4.4: Simpson Paradox Section 4.5:

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Logarithmic Functions

Logarithmic Functions. The logarithmic function to the base a , where a > 0 and a ? 1 is defined:. y = log a x if and only if x = a y. logarithmic form. exponential form.

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Logarithmic Functions

Logarithmic Functions. The logarithmic function to the base a , where a > 0 and a ? 1 is defined:. y = log a x if and only if x = a y. logarithmic form. exponential form.

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Graphing Log Functions

Graphing Log Functions. Pre-Calculus. Graphing Logarithms. Objectives: Make connections between log functions and exponential functions Construct a table of values for a log function Graph a log function Vocabulary: logarithms, natural logarithms. Graphing Logarithms.

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Honors Precalculus

Honors Precalculus. Day 3 Section 4.3. The inverse of an exponential function. Domain: Range: V.A. at x = 0 Passes through (1,0) and (a,1). Logarithmic Functions. a is the base. Range of an exponential function. Domain of an exponential function. Exp function. Log function.

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Derivatives of Log Functions

Derivatives of Log Functions. Lesson 4.5. Problem. Consider f(x) = log a x What if we try to use the definition for derivative using the limit No way to break up this portion of the expression to let h ? 0. Possible Solution. We know that the derivative is the "slope function"

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7.3 Logarithmic Functions as Inverses

7.3 Logarithmic Functions as Inverses. Def: Logarithm The logarithm to the base b of a positive number y is defined: If y = b x , then log b y = x. Example: Write 729 = 3 6 and (1/2) 3 = 1/8 in log form. 729 = 3 6 can be written as log 3 729 = 6

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8.3 Logarithmic Functions as Inverses

8.3 Logarithmic Functions as Inverses. Def: Logarithm The logarithm to the base b of a positive number y is defined: If y = b x , then log b y = x. Example: Write 729 = 3 6 and (1/2) 3 = 1/8 in log form. 729 = 3 6 can be written as log 3 729 = 6

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How To Change between log and exponential form

How To Change between log and exponential form. By: Anishka Kappalayil. Step1:take an ordinary exponential equation. 2 3 = 8. Step 2: Figure out what numbers are what. Power. 2 3 = 8. Answer. Exponent Base. Step 3: What is a log?.

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9.3 Logarithmic Functions

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9.3 Logarithmic Functions

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3.3 Properties of Logarithms

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