Measuring pH and pOH. Also Known As… Please don’t ask me, “Why do they start with small letters and end with capital letters?”, because it’s just the chemists doing whatever they want again…. What is “pH”?. The term “pH” refers to the measurement of the strength of an acid or base.By clodia
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Logarithmic Functions. Exponentiation: The third power of some number ‘b’ is the product of 3 factors of ‘b’. More generally, raising ‘b’ to the n-th power (n is a natural number) is done by multiplying n factors. The idea of logarithms is to reverse the operation of exponentiation.
Logarithmic Functions. Definition of a Logarithmic Function. For x > 0 and b > 0, b = 1, y = log b x is equivalent to b y = x . The function f (x) = log b x is the logarithmic function with base b. Exponent. Exponent. Base. Base.
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.
Logarithmic Functions. By: Melissa Meireles & Noelle Alegado. Section 5.1 The Natural Logarithmic Function: Differentiation. The natural logarthmic function is defined by: ln x = ∫ 1/t dt x > 0 The natural logarithmic function has the following properties:
Logarithmic Functions. Lesson 5.6. You have used several methods to solve for x when it is contained in an exponent.
Logarithmic Functions. Log Functions. Changing Forms y = log b x x = b y Use these formulas to help you rewrite log functions. We rewrite them so they are in forms that are easier to work with. l og 2 8 = 3 l og 9 3 = l og 5 ( ) = -2. 8 = 2 3 3 = 9 1/2 = 5 -2
Logarithmic Functions. Section 8.4. What is a logarithm?. Logarithms were originally developed to simplify complex arithmetic calculations. . A logarithm is the power to which a number must be raised in order to get some other number If y = b x , then log b y = x
Logarithmic Equations. Create a Logarithmic Equation. Create a logarithmic function of the form f(x ) = log b (x-h) + k. Graphing. Graph the Logarithmic Function Remember the base matters Use h and k to help build a table of values. Create an Equation. Set f(x) = 0 and solve
Section 4.2 Part 2. Logarithmic Functions. Objectives: Graph logarithmic functions. Find the domain of logarithmic functions. Use common logarithms. Use natural logarithms. Text Example. x. -2. -1. 0. 1. 2. 3. x. 1/4. 1/2. 1. 2. 4. 8. f ( x ) = 2 x. 1/4. 1/2. 1. 2. 4.