PAL Worksheet 14: Exponents and Logarithms | University of Vermont - Edubirdie

University:
University of Vermont
Course:
MATH 1034 | Pre-Calculus Mathematics
Academic year:

2024
Views:

496

Pages:

2
Author:

Carla Barrera

PAL Worksheet 14 1. A square is inscribed in a circle of radius r. a. Write a function that gives the area of the square as a function of r. b. Write a function that gives the perimeter of the square as a function of r. c. Write a function that gives the area outside the square but inside the circle as a function of r. r 2. Write each of the following equations involving exponents in its logarithmic form: a. 63 = 216 b. 10−2 = 0.01 c. 5x = 11 d. e7 = z 3. Write each of the following logarithmic equations in its exponential form. a. log9 81 = 2 b. logb 7 = 12 c. log 1000 = 3 d. ln 15 = z 4. Is it possible to write 51 as a power of e? Explain. 5. Without the aid of a calculator, determine between which two integers the value of log4 50 lies. Explain how you know. 6. Evaluate each logarithm. Do not use a calculator. a. log5 125 b. log9 3 c. log 2 5 100 9 e. log12 12 f. log0.3 i. log7 1 √ j. log√5 ( 7 5) 125 8 g. log 1 3 9 k. log125 (50.63 ) d. log3 1 81 √ h. log8 (2 2) l. log9 (log2 8)

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