Warm - Up. Solve the following equations (for x). Solving Exponential & Logarithmic Functions. Section 3.4. Objectives. Students will be able to… Use log properties to solve exponential equations Solve equations with variables in the exponents Evaluate logs and natural logs

ByLogarithmic Functions. Recall that for a > 0, the exponential function f ( x ) = a x is one-to-one. This means that the inverse function exists, and we call it the logarithmic function with base a , written log a . We have:

ByLogarithmic Functions. Section 3.2. Objectives. Rewrite an exponential equation in logarithmic form. Rewrite a logarithmic equation in exponential form. Evaluate a simple logarithmic expression. Find a missing piece of a logarithmic equation given all the other pieces.

ByFind the solution of the exponential equation, correct to four decimal places. e x = 12. x = 2.4849 x = 1.3615 x = 2.0318 x = 1.7726. Find the solution of the exponential equation 1.00507 4 x = 15, correct to four decimal places. Choose the correct answer from the following:.

ByCompound Interest. Section 5.2. Introduction. Re-investing your interest income from an investment makes your money grow faster over time! This is what compound interest does.

ByLogarithmic and Exponential Equations. CHECK! to make sure your answer is “legal”. Solve for the variable. If x is in more than one term get x terms on one side and factor out the x. Re-write the log equation in exponential form.

By5.1 – Exponential Functions. Exponential Function = a type of function in which a constant is raised to a variable power Many real-life applications using exponential functions Exponential functions will be of the form : f(x) = a x. Behavior.

ByLesson 6.2: Exponential Equations. To explore exponential growth and decay To discover the connection between recursive and exponential forms of geometric sequences. Recursive Routines . Recursive routines are useful for seeing how a sequence develops and for generating the first few terms.

ByPRECALCULUS I. EXPONENTIAL & LOG EQUATIONS. Dr. Claude S. Moore Danville Community College. EXPONENTIAL & LOG INVERSE PROPERTIES. 1. log a a x = x ln e x = x . 2. a log a x = x e ln x = x . ONE-TO-ONE PROPERTIES. 1. log a x = log a y iff x = y.

ByBase e and Natural Logarithms 10.5. Notes # ___. History. The number e is a famous irrational number, and is one of the most important numbers in mathematics. The first few digits are 2.7182818284590452353602874713527 ...

By*Start of MP3*. January 22, 2016. 1. … in Slope-Intercept Form. … in Point-Slope Form. … in Standard Form. Write linear equations for a line that passes through the following points: (-4, 8) and (2, 3). January 25, 2016. 1. … in Slope-Intercept Form. … in Point-Slope Form.

ByChemCAD. Michael Naas, Teddy Wescott , Andrew Gluck. What can ChemCAD do?. Able to model many typical chemical engineering processes in order to produce results based on user specified input Help make decisions regarding sizing and costing equipment

ByGo over homework. C A B C C C B. A B B A. C B A C C D. Coordinate Algebra EOCT REVIEW. UNIT 3 – Linear & Exponential Functions. Question 1 Function vs. Relation. Is this a function? (-1, 2), (8, -4), (12, 3), (12, -3) . No, 12 has two outputs.

By1) y = 5000(1 + .06) 4. Variable by itself. Type in calculator. 6312.4. 2 ) 5000 = A(1 + .06) 4. Variable times something. Divide by everything. 5000/(1.06) 4 3960.47. 3) 5000 = 2000(1 + .06) x. Variable is exponent. 5000/2000 1.06 x. Logs. Log(2.5) = x log 1.06.

ByThe initial value of the boat is $10,000. The value depreciates over time at a rate of 10% per year. What is the value of the boat after 2 years? After 5 years? After 10 years? Write the equation that models the decay in value of the boart . Create a graph to show the boat’s value over time .

ByDobberty. Hosted by Mrs. Dobbert. Vocabulary. Calculator. Calculations. Dobbert’s Doozies. 100. 100. 100. 100. 200. 200. 200. 200. 300. 300. 300. 300. 400. 400. 400. 400. 500. 500. 500. 500. Row 1, Col 1.

BySection 3.2.2 Logs as Inverse Exponentials. Lesson Objective: Students will: Redevelop the log function by reversing a table for an exponential function. Practice converting between exponential and log equations. Formally define the log function. Vocabulary: Logarithm. Closure.

ByGraphing 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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