'Log 8' diaporamas de présentation

Algebra 2 Chapter 7. Exponential and Logarithmic Functions. This Slideshow was developed to accompany the textbook Larson Algebra 2 By Larson , R., Boswell, L., Kanold , T. D., & Stiff, L. 2011 Holt McDougal Some examples and diagrams are taken from the textbook. Slides created by

4-4. Properties of Logarithms. Warm Up. Lesson Presentation. Lesson Quiz. Holt McDougal Algebra 2. Holt Algebra 2. Objectives. Use properties to simplify logarithmic expressions. Translate between logarithms in any base.

4-5. Properties of Logarithms. Warm Up. Lesson Presentation. Lesson Quiz. Holt Algebra 2. Warm Up. Simplify. 1. (2 6 )(2 8 ). 2 14. 3 3. 2. (3 –2 )(3 5 ). 4 4. 3 8. 3. 4. 7 15. 5. (7 3 ) 5. Write in exponential form. 6. log x x = 1. 7. 0 = log x 1. x 1 = x. x 0 = 1.

7-4. Properties of Logarithms. Warm Up. Lesson Presentation. Lesson Quiz. Holt Algebra 2. Warm Up. Simplify. 1. (2 6 )(2 8 ). 2 14. 3 3. 2. (3 –2 )(3 5 ). 4 4. 3 8. 3. 4. 7 15. 5. (7 3 ) 5. Write in exponential form. 6. log x x = 1. 7. 0 = log x 1. x 1 = x. x 0 = 1.

Evaluate. 8. 8. 8. using common logarithms and natural. logarithms. log. log. log. 3. 3. 3. log 8. 0.9031. 1.893. =. 0.4771. log 3. ln 8. 2.0794. 1.893. =. 1.0986. ln 3. EXAMPLE 4. Use the change-of-base formula. SOLUTION. Using common logarithms:.

Logarithmic Functions. The inverse of the equation y = b x is x = b y. That’s right! Interchange x and y. Since there is no algebraic method for solving x = b y for y in terms of x , the Logarithmic Function is used to allow y to be expressed in terms of x.

Chapter 8 Review. Rewrite into logarithm form: 1. 2. Rewrite into exponential form:. 3. 4. Simlify:. 5. 6. Use a calculator to evaluate – round to 3 decimal places. 7. 8. .199. 1.883. Tell whether the function is

Objectives. Use properties to simplify logarithmic expressions. Translate between logarithms in any base. The logarithmic function for pH that you saw in the previous lessons, pH =–log[H + ], can also be expressed in exponential form, as 10 – pH = [H + ].

Aim: How do we solve exponential equations using logarithms?. Do Now:. Solving Exponential Equations. What is an exponential equation?. An exponential equation is an equation, in which the variable is an exponent. Ex. 3 x - 4 = 9.

7-4. Properties of Logarithms. Warm Up. Lesson Presentation. Lesson Quiz. Holt Algebra 2. Warm Up. Simplify. 1. (2 6 )(2 8 ). 2 14. 3 3. 2. (3 –2 )(3 5 ). 4 4. 3 8. 3. 4. 7 15. 5. (7 3 ) 5. Write in exponential form. 6. log x x = 1. 7. 0 = log x 1. x 1 = x. x 0 = 1.

7-4. Properties of Logarithms. Warm Up. Lesson Presentation. Lesson Quiz. Holt McDougal Algebra 2. Holt Algebra 2. Warm Up. Simplify. 1. (2 6 )(2 8 ). 2 14. 3 3. 2. (3 –2 )(3 5 ). 4 4. 3 8. 3. 4. 7 15. 5. (7 3 ) 5. Write in exponential form. 6. log x x = 1.

7-4. Properties of Logarithms. Warm Up. Lesson Presentation. Lesson Quiz. Holt McDougal Algebra 2. Holt Algebra 2. Warm Up. Simplify. 1. (2 6 )(2 8 ). 2 14. 3 3. 2. (3 –2 )(3 5 ). 4 4. 3 8. 3. 4. 7 15. 5. (7 3 ) 5. Write in exponential form. 6. log x x = 1.

C2: Change of Base of Logarithms. Learning Objective: to understand that the base of a logarithm may need changing to be able to solve an equation. Changing the base of a logarithm. So:. 5 x = 8. So:. Suppose we wish to calculate the value of log 5 8.

HEARING. MUSICAL ACOUSTICS. Science of Sound Chapter 5. MUSICAL ACOUSTICS. RANGE OF HEARING. OUTER, MIDDLE, AND INNER EAR. THE COCHLEA. THE EAR. MIDDLE EAR: THE OSSICLES. RESPONSE OF THE BASILAR MEMBRANE TO A PAIR OF TONES.

7-4. Properties of Logarithms. Warm Up. Lesson Presentation. Lesson Quiz. Holt Algebra 2. Warm Up. Simplify. 1. (2 6 )(2 8 ). 2 14. 3 3. 2. (3 –2 )(3 5 ). 4 4. 3 8. 3. 4. 7 15. 5. (7 3 ) 5. Write in exponential form. 6. log x x = 1. 7. 0 = log x 1. x 1 = x. x 0 = 1.

Properties of Logarithms. Warm Up. Lesson Presentation. Lesson Quiz. Holt McDougal Algebra 2. Holt Algebra 2. Warm Up. Simplify. 1. (2 6 )(2 8 ). 2 14. 3 3. 2. (3 –2 )(3 5 ). 4 4. 3 8. 3. 4. 7 15. 5. (7 3 ) 5. Write in exponential form. 6. log x x = 1. 7. 0 = log x 1.

Objectives. Use properties to simplify logarithmic expressions. Translate between logarithms in any base. Because logarithms are exponents, you can derive the properties of logarithms from the properties of exponents.

7-4. Properties of Logarithms. Warm Up. Lesson Presentation. Lesson Quiz. Holt McDougal Algebra 2. Holt Algebra 2. Warm Up. Simplify. 1. (2 6 )(2 8 ). 2 14. 3 3. 2. (3 –2 )(3 5 ). 4 4. 3 8. 3. 4. 7 15. 5. (7 3 ) 5. Write in exponential form. 6. log x x = 1.

Properties of Logarithms. Essential Questions. How do we use properties to simplify logarithmic expressions? How do we translate between logarithms in any base?. Holt McDougal Algebra 2. Holt Algebra 2.

4-4. Properties of Logarithms. Warm Up. Lesson Presentation. Lesson Quiz. Holt McDougal Algebra 2. Holt Algebra 2. Warm Up. Simplify. 1. (2 6 )(2 8 ). 2 14. 3 3. 2. (3 –2 )(3 5 ). 4 4. 3 8. 3. 4. 7 15. 5. (7 3 ) 5. Write in exponential form. 6. log x x = 1.