. . O - - EXPONENTS AND LOGARITHMS 5. The exponential decay function A = Ao () can be used to determine the amount A, of a radioactive substance present at time t, if Ao represents the initial amount and P represents the half-life of the substance If a substance loses 70% of its radioactivity in 500 days, determine the period of the half-life P./4 6. James, who is an university student, borrowed a student loan of $50,000. What is his total payment after 10 years if the interest was charged at the rate of 5% per annum compounded:/4 a. semi-annually. b. monthly. c. continuously. d. Which method is the best choice for James? Why? Page 3 of 5O EXPONENTS AND LOGARITHMS 7. A student is attempting to solve the equation 12 log2 (2 - 3x) - (log2(x + 1) + log2 2x) = 10g2 4. Line # Student's work 2 - 3x 1082 x + 17 + log2 2x = log2 22 2 (2x(2 - 3x) ) log2 - x + 1 ) = 2 3 22 - 24 2x(2 - 3x) x+1 4x + 4 = 4x - 6x2 5 6x2 = -4 6 No Solutions. Find the line where the student made a mistake and re-write the correct solution. 8. Consider the equation 15(2)* = 84. Find the exact value of x using logarithms. /4 Page 4 of 5 4 of 5