logarithmic function lesson plan

Logarithmic Function I. Objective: At the end of the sessions, the students must be able to: 1. define the logarithmic function f(x) = log a x as the inverse of the exponential function f(x) = a x . II. Subject Matter: Logarithmic Function Reference: Advance Algebra page 139-141 Module Math IV Materials: Multi Media, Manila Paper, Marker III. Development of the Lesson A. Review A. Simplify the following: 1. (x 6 ) (x 11 ) 2. (p 4 ) 3 3. (5y 5 ) 3 B. Solve for x: 4. If 2 2x + 1 = 2 5 , what is x? 5. Find x if 4 x + 1 = 4. B. Motivation Let the students sing a song. Watermelon(2x) Papaya(2x) Banana(2x) Fruit Salad(2x) Logarithm(2x) are exponent of the base Mathemathematics(2x) We love it! C. Discuss the logarithmic function and give example to illustrate the concept of logarithm. D. To check the student’s understanding of the concept, let them answer some exercise and this will be done by group A. Change each equation into logarithmic form. 1. 3 5 =243

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Logarithmic Function

I. Objective:At the end of the sessions, the students must be able to:1. define the logarithmic function f(x) = logax as the inverse of the exponential function f(x) = ax.

II. Subject Matter: Logarithmic FunctionReference: Advance Algebra page 139-141Module Math IVMaterials: Multi Media, Manila Paper, Marker

III. Development of the Lesson

A. ReviewA. Simplify the following:1. (x6) (x11)2. (p4) 33. (5y5) 3B. Solve for x:4. If 22x + 1 = 25, what is x?5. Find x if 4x + 1 = 4.B. MotivationLet the students sing a song.Watermelon(2x)Papaya(2x)Banana(2x)Fruit Salad(2x)

Logarithm(2x)are exponentof the baseMathemathematics(2x)We love it!

C. Discuss the logarithmic function and give example to illustrate the concept of logarithm.

D. To check the students understanding of the concept, let them answer some exercise and this will be done by groupA. Change each equation into logarithmic form.1. 35 =2432. 90 = 13. 112 = 1214. 41/2 = 25. 271/3 = 3B. Change each equation into exponential form.6. log232 = 57. log381 = 48. log1212 = 19. log 10100000 = 510. logqp = mC. Evaluate the logarithm of each of the following:11. log98112. log734313. log61/21614. log644 15. log61/216IV. Evaluation1. Which of the following is the inverse of y = ax?a. y = axb. y = xac. y = logaxd. x = ay2. Which of the following is equivalent to log464 = 3?a. 34= 64b. 43 = 64c. 644 = 3d. 163 = 43. Which of the following is equivalent to log24 = x?a. 2x= 4b. 42 = xc. 24 = xd. x2 = 44. Which of the following is equivalent to log181 = 0?a. 018= 1b. 10 = 18c. 018 = 1d. 180 = 15. Which of the following is equivalent to 24 = 16?a. log416 = 2b. log216 = 4c. log16 2 = 4d. log44 = 166. Which of the following is equivalent to 271/3 = 3?a. log273 = 1/3b. log327 = 1/3c. log1/3 3 = 27d. log31/3= 277. Which of the following is equivalent to 113 = p?a. log113 = pb. log311 = pc. log3 p = 11d. log11p= 38. Evaluate: log48a. 2b. 3c. 2/3d. 3/2 9. Evaluate: log161 a. 0b. 1c. 2d. 410. Evaluate: log41/64 a. 3b. 4c. -3d. -4

V. AssignmentDraw the graph of y = 2x and y = log2x .

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