PPT-3.1 Exponential Equations

Type I Rewrite both sides of using same base Cancel bases Set the exponents equal and solve Solve Solve Answer Rewrite cancel bases solve Solve Solve Answer Rewrite cancel bases solve. e Ax where is vector is a linear function of ie By where is then is a linear function of and By BA so matrix multiplication corresponds to composition of linear functions ie linear functions of linear functions of some variables Linear Equations Sebastián Jordán, Valentina Carvajal, Rebeca Pérez-Anda, Juan Ignacio . Lalama. 04/15. Introduction. The Condor, is an important animal, . People have damaged most of the condor population.. T. h. Understanding the difference. Linear equations. These equations take the form:. . y. = . mx. + . b. . . m. is the slope of the line. . b. is the value of . y. when . x. = 0 . (the . y. - . This work is licensed under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 License. . Skills. : none. C. oncepts. : linear growth, exponential growth, linear scale plot, logarithmic scale plot, “hockey . Chapter 3 Section 5. Quick Review. . Quick Review Solutions. . What you’ll learn about. Solving Exponential Equations. Solving Logarithmic Equations. Orders of Magnitude and Logarithmic Models. Newton’s Law of . The inverse of an exponential function is a . logarithmic function. .. y = log . b . a. Read. :. . y = “log . base . b. . of . a”. Definition. log. b. . A = x is read as “log base b of a equals X.. Graphs of Logarithmic Functions . Log. 2. x. Equivalent Equations. Solving Certain Logarithmic Equations. 9.3. 1. Inverses of Exponential Functions. f(x) = 2. x. f. -1. (x) = ? x = 2. y. Differentiate between linear and exponential functions.. 4. 3. 2. 1. 0. In addition to level 3, students make connections to other content areas and/or contextual situations outside of math..  . Students will construct, compare, and interpret linear and exponential function models and solve problems in context with each model.. Examples:. . 1). . . x 3 = 15. . 2) p – 5 = 20. 3) 2d = 16. 4). . = 24.  . Multi-Step Equations. Examples—. 5). 2p 15 = 29. 6). 14 – 3n = -10. 7). 27 = -9(y 5). 8). 7a – 3a 2a – a = 16. 3.2 Exponential growth and decay: Constant percentage rates. 1. Learning Objectives:. Understand exponential functions and consequences of constant percentage change.. Calculate exponential growth, exponential decay, and the half-life.. Paired with name. Exponential Entrepreneur. Exponential entrepreneur is a yearlong course, which is part of a three year long program designed to introduce students to current technologies that are growing at exponential rates. . Net ionic equations are useful in that they show only those chemical species directly . participating in . a chemical . reaction. The keys to being . able to . write net ionic equations are the ability to recognize monatomic and polyatomic ions, . Power . Exponential Notation. A short hand of writing a number with out changing its Value. It only changes the way it looks.. * . . . . .  . X10. #. x10. - #. Number gets larger . All slides in this presentations are based on the book Functions, Data and Models, S.P. Gordon and F. S Gordon. ISBN 978-0-88385-767-0. Fitting Data to An Exponential Function. Although Linear Regression is a powerful tool, not all relationships between two quantities are linear. (See scatterplots in figure 5.28).