College Algebra Name: Study Guide 25 Class: Due Date: Score: No Work ⇔ No Points Use Pencil Only ⇔ Be Neat & Organized 1. (5 points) Graph the function f (x) = log6 x, and its inverse, then complete the chart below. y x Domain Range f (x) f −1 (x) 2. Use your calculator to find (a) (1 point) log 456 (a) (b) (1 point) ln 1000 (b) Page 1 of 4 Study Guide 25 Total Points: 50 3. (5 points) Graph the function f (x) = log1/4 x, and its inverse, then complete the chart below.. y x Domain Range f (x) f −1 (x) 4. (3 points) Solve log2 (3x + 2) = 5, and check your solution. 4. √ 5. (3 points) Solve log3 ( x − 1) = 2 , and check your solution. 5. Page 2 of 4 Study Guide 25 Total Points: 50 6. (2 points) Use change-of-base formula to evaluate log7 100 rounded to three decimal places. 6. 7. (3 points) Solve: log2 (3x + 5) = 3 7. 8. (4 points) Solve: log2 (x2 − 2x) = 3 8. 9. (4 points) Solve: log8 (x2 + 7x) = 1 9. 10. Solve: (a) (3 points) 6x = 2000 (a) Page 3 of 4 Study Guide 25 Total Points: 50 (b) (4 points) 2x−5 = 567 (b) (c) (4 points) 9 x+5 (d) (4 points) 4 2x−7 = 2016 (c) = 1234 (d) (e) (4 points) 10 9−4x = 4321 (e) Page 4 of 4 Study Guide 25 Total Points: 50

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