8.6 Solving Exponential and logarithmic Equations Day 1. Purpose Solving exponential equations And Solving logarithmic equations. Solve. Solve. Solve. Solve. Solve. Solve. Solve. P. 505-508 # 4-9, 16-40(by 4), 63,65,69,82,86. 8.6 Solving Exponential and logarithmic Equations Day 2.

By8.6 Solving Exponential and Logarithmic Equations. p. 501. Exponential Equations. One way to solve exponential equations is to use the property that if 2 powers w/ the same base are equal, then their exponents are equal. For b>0 & b ≠1 if b x = b y , then x=y.

BySolving Exponential Equations. Exponential Equations. One way to solve exponential equations is to use the property that if 2 powers w/ the same base are equal, then their exponents are equal. For b>0 & b ≠1 if b x = b y , then x=y. Solve by equating exponents.

By4.4 Exponential and Logarithmic Equations. An exponential equation is an equation containing a variable in an exponent. A logarithmic equation is an equation containing a variable in a logarithmic expression. Examples of Exponential Equations. Examples of Logarithmic Equations.

By7.3 Logarithmic and Exponential Functions. Math 6B Calculus II. Exponential Functions. The graph of y = b x , where b > 1 The graph of y = b x , where 0 < b < 1. Inverse Relations for Exponential and Logarithmic Functions.

ByExponential and Logarithmic Equations. Objectives. Solve exponential and logarithmic equations and equalities. Solve problems involving exponential and logarithmic equations. Vocabulary. exponential equation logarithmic equation.

ByCOURSE DESIGN. Yes. No. DOES THE DAMN THING WORK?. Yes. LIAR. DID YOU DESIGN IT?. No. YOU IDIOT. ARE YOU GOING TO BE IN TROUBLE?. Yes. Yes. DOES ANYONE KNOW?. OH NO. No. CAN YOU BLAME SOMEONE ELSE?. No. No. Yes. NO PROBLEMS . KEY CONSIDERATIONS FOR NORTHCOTE .

ByWriting Exponential Equations From a Table. http:// www.youtube.com/watch?v=eqPqx5yrFsg. From 2 Points. http://www.youtube.com/watch?v=KVEPO2gn2R8. From a Word Problem. http://www.youtube.com/watch?v=b8Bn2fpeU2o. Practice Word Problems.

ByWarm-Up April 14 th. HW Check HW 6.5 . a. 12,000 bacteria b. 96,000 bacteria c. 768,000 bacteria 2. 0.5 g a. 6,800 insects b. 425 insects 4. 15 hours 5. 72 billion a. 37,402,600 bact. b. 6,553,790 bact. 7. 2,609,610 people a. 28.6 million b. 29.1 million a. 689 bacteria

ByMidterm Review Tues Jan 21. Find the inverse of 1) f(x) = 3x - 1 2) g(x) = (x+1)^2. Midterm Review Thurs Jan 23. Find the domain 1) y = (x+2)^1/2 2) log [(5-x) / (x – 7) ]. 4.6 word problems with e^x and logx. Exponential growth and decay Y = P e^( kt ) P = initial amount (principal)

BySolving Exponential Equations. Exponential Equations. One way to solve exponential equations is to use the property that if 2 powers w/ the same base are equal, then their exponents are equal. For b>0 & b ≠1 if b x = b y , then x=y. Solve by equating exponents.

ByCollege Algebra K /DC Wednesday, 09 April 2014. OBJECTIVE TSW solve exponential equations. ASSIGNMENT DUE Sec. 4.4: pp. 453-454 (29-42 all, 45-50 all ) wire basket Sec. 4.4: pp. 455-457 ( 53-56 all, 61-72 all ) black tray QUIZ FRIDAY Sec. 4.4

ByLesson 5-5. Logarithms. Logarithmic functions. Logarithmic functions. The inverse of the exponential function. Logarithmic functions. The inverse of the exponential function. Basic exponential function: f(x) = b x. Logarithmic functions. The inverse of the exponential function.

ByWarm-up 8/24/12: . Two schools opened in the same year, each with a population of 500 students. Hillsboro High School’s population increased at a rate of 160 students per year. The population of Mountain Ridge High School increased by approximately 20% each year.

ByExponential functions and logarithms. Overview. Exponential functions 1. Example: the function y=2 x 2. Exponential function versus power function B. Exponential growth C. Exponential decrease D. Logarithms E. Some rules for calculations with logarithms F. Simple exponential equations

ByWarm up. What is the inverse of the exponential function ?. Solution. We can see the inverse is by switching the variables, but how do we solve for y? It turns out, we need a special function called a Logarithmic function to do this. . Why do we care?.

BySection 6.5 – Properties of Logarithms. Section 6.5 – Properties of Logarithms. Write the following expressions as the sum or difference or both of logarithms. Section 6.5 – Properties of Logarithms. Write the following expressions as the sum or difference or both of logarithms.

BySection 9.3 Logarithmic Functions. Graphs of Logarithmic Functions Log 2 x Equivalent Equations Solving Certain Logarithmic Equations. Inverses of Exponential Functions f(x) = 2 x f -1 (x) = ? x = 2 y. Logarithmic Functions: Ranges are Exponents Notation:

By7-5 Logarithmic & Exponential Equations. Terms and Concepts these will be on a quiz. 1. x – 3. x . 2. Solve 4 = . x – 3. 2 x. – x + 3. x . 2 = 2 . 1. 1. 4 =. Rewrite 4 and as powers with base 2 . 2. 2. x. x – 3. 2. – 1. (2 ) = (2 ).

BySolving Exponential Equations Using Logarithms. Chapter 8.6. Remember Exponential and Logarithmic Functions are Inverses. 2 to what power = 7. Solve 2 x = 7. log 2 x = log 7. 1) Take the log of each side. log 2 x = log 7. 2) Use the Power Property. x log 2 = log 7.

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