MAT 120 MODULE 7 CHECK YOUR UNDERSTANDING 1. Given that log x = 3 and log y = 4, find log . 0 2. Simplify. 0 3. Simplify. log 4 1 1 4. Write in logarithmic form. 243 = 35 . 1 5. Simplify. log 3 9 1 6. If you invest $4,500 in an account paying 2% compounded continuously, how much money will be in the account at the end of 4 years? 0 7. Evaluate e9 – e-9 to four significant digits. 1 8. Graph y = ex – 2. 9. Use a calculator to find log 5 57. Round your answer to four decimal places. 1 10. Simplify. 1 11. Simplify. log 2 . 1 12. Use a calculator to find log 4, 115. Round your answer to four decimal places. 1 13. Write in exponential form. log 10 0.0001 = -4 1 14. Graph y = 5e-x. . 1 15. Graph the logarithmic function. f(x) = log 3 (x – 1) 1 16. Given that log x = 6 and log y = 5, find log ( ). 1 17. Solve. log 16 32 = x 1 18. The bacteria in a certain culture double every 7.9 hours. The culture has 2,000 bacteria at the start. How many bacteria will the culture contain after 4 hours? 0 19. Simplify. log 2 27 1 20. Simplify. log 3 3 1 Mathematics Help, Mathematics Homework help, Mathematics Study Help, Mathematics Course Help