Write each equation in exponential form. 1. log2 16 = 4 2. log3 27 = -3 3. log291 = 0 Write each equation in logarithmic form. 4. 6-3 1 3 = 5. 46 = 4096 6. 252 = 125 216 Evaluate each expression. 7. log4 64 8. log6216 9. log32 2Graph each function. 10. f(x) = loglx ' 11. f(x) = logmx S _.___._i__.._.._. 12. To measure a student's retention of knowledge, the student is tested after a given amount of time. A student's score on an Algebra 2 test t months after the school year is over can be approximated by y(t) = 85 lo-92 (t + 1), where y(t) is the student's score as a percent. a. What was the student's score at the time the school year ended (t = D}? b. 'What was the student's score after 3 months? c. What was the student's score after 15 months? Solve each equation. 1. log81 x = + I w 2. logs ? = X 3. logx 32 = 4. log4x 2 4 Solve each equation. Use the calculator to verify your answers. 5. log12 (x2 - 7) = 10g12 (x + 5) 6. log3 (3x + 8) = log3 (x2 + x) 7. log4 (2x2 + 1) = log4 (10x - 7) 8. logg (x2 - 4x) = logg (3x - 10) 9. log2 x 5 -2 10. log3 x 2 -4 11. logz (4x -6) > log2 (2x + 8) 12. log5 x > 2 13. log11 (3x - 24) 2 log11 (-5x -8) 14. log3 (7x -6)