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Hw 21 Exponential Equations, Log Rules

Homework which would help prepare for the exam. (It is pretty short fo...

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College Algebra (MATH 8)

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San José State University

Academic year: 2017/2018

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SJSU Math 08 Homework 21: Exponential Equations, Log Rules Nov 27th Evaluate the following expressions. Reminder: use the multiple choice answers to guide your try to solve the problem independently and see if your answer matches any of the given answers. Only look at the given choices if you are stuck and need a hint. 1. log2 16 (a) 1 (b) 2 (c) 4 (d) 8 (a) 3 (b) 6 (c) 8 (d) 16 (a) 1 (b) 2 (c) 4 (d) 8 (a) 1 (b) 2 (c) 1 2 (d) 1 4 (a) 1 (b) 2 (c) 1 2 (d) 1 4 (a) 1 (b) 2 2. log4 64 3. log8 64 4. log4 2 5. log81 3 6. log5 7. log2 8. log10 1 25 1 16 (c) (d) 1 (a) (b) (c) 1 4 (d) 1 8 (a) (b) (c) 1 3 (d) 1 10 Page 1 of 7 SJSU Math 08 Homework 21: Exponential Equations, Log Rules Nov 27th 9. Expand the following expression as much as possible, into a series of distinct logarithms. ) log3 x (Hint: order of operations is important. Make sure that you are using the rules correctly.) (a) (x 1) (x 1) (b) log3 (x 1) (x 1) (c) log3 (x (x 1) (d) log3 (x (x 1) 10. Expand the following expression as much as possible, into a series of distinct logarithms. 2x log7 ! (a) 2 log7 (x 1) 2 log7 (x 1) 2 log7 (2) 2 log7 (x) log7 (x 1) 1 2 log7 (2) (c) 2 log7 (x 1) 2 log7 (x 1) 1 2 log7 (2 x) (d) 2 log7 (x 1) 2 log7 (x 1) 1 2 log7 (2) (b) 1 2 log7 (x 1) 1 2 1 2 1 2 log7 (x) 1 2 log7 (2 x) log7 (x) 11. Condense the following expression into a single logarithm. 4 log4 (x2 ) (a) log4 6 x 2 x (b) log4 (c) log4 8 x (d) log4 8 6 1 2 log4 (x 4x2 ) Page 2 of 7 SJSU Math 08 Homework 21: Exponential Equations, Log Rules Nov 27th 15. Let f (x) 3 62x . Find the inverse function f (y). (a) log6 ( y2 ) 3 (c) log6 ( y3 ) 2 (b) log6 (3y) 2 (d) log6 (2y) 3 Review Recall the formula for percentage: Original or Total Amount Percentage New or Partial Amount The formula for percent is the you simply report the deviation from a baseline Mathematically, you can replace with where p tells you the distance from 16. What is of 18? (a) 18 .05 (b) 18 .5 (c) 18 1 (d) 18 2 17. What is a increase from 18? (a) 18 .05 (b) 18 .5 (c) 18 1 (d) 18 2 Page 4 of 7 SJSU Math 08 Homework 21: Exponential Equations, Log Rules Nov 27th 18. A company offers you a jacket for of the original price. The final price is What was the original price? 15 (a) .3 15 (b) .7 15 (c) 1 15 (d) 1 19. A company offers you a jacket for off of the original price. The final price is What was the original price? 15 (a) .3 15 (b) .7 15 (c) 1 15 (d) 1 For questions let f (x) x3 3x2 4. 20. List the possible of this function, using the Rational Roots Theorem. (a) (c) 2, 3, 4 (b) 2, 4, 6, 8 (d) 2, 4 2, 3, 4, 6, 9, 12 21. Find the of this function. (a) (c) x 2 (b) x 2, 2 (d) Page 5 of 7 x 4 x 2, 4 SJSU Math 08 Homework 21: Exponential Equations, Log Rules Nov 27th 25. Graph the function f (x). Make the very clear on your graph. (a) (b) (c) (d) Page 7 of 7

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