Topic: Logarithmic Function

E. Express each logarithm as a sum or difference of simpler logarithmic expression. 6. log3 x2 Vy 2. log3 8. 10g2" Wi 10. log7 F. Express as a single logarithm, simplify if possible 6. =logx - (7logy + logz) 2. log3 X - (log; y + log3Z) 8. log10(2x2 - 7x - 15) - log10 (2x + 3) 4. (logz x + logzy) - logz Z) 10. =logx - 5log(x - 1) G. Given: log 2 = 0.3010,log3 = 0.4771 , log 5 = 0.6990,log 7 = 0.8451.Find the value of each logarithm. 6. log 125 2. log 8. log 2.7 4. log v2 10. log 0.25 H. Problem Solving 2. Each year the value of a car decreases by 10%, if its value is currently 650,000 pesos. In how many years will its value be half of the original price? 4. Suppose the population in a town is 50,000 and has a yearly growth of 3%, when it will grow to 75,000. (round off your answer to the nearest year)C. Evaluate each logarithmic function 6. log10 0.001 2. log6 36 12. log3 243 8. log, 27 4. logs 25 14. logx x5 10. log, 49 D. Solve each equation. 2. logo x = 2 12. loga (x + 1) = log3 2x 22. log,(x + 3) - log,(x - 3) = 2 4. logx = -3 14. log2 (2x + 1) = log2 (3x - 6) 24. log7(x2 + x) = log, 12 6. logx 9 = 2 16. log, (x2 + 9) = 6x 8. logx 25 = = 18.log, 18 - log4 x = log4 6 10. log2 X = log2 4 20. 2 log7 3 + 3log- 2 = log7 X