A2 Chapter 7 Review - UCHS
Transcript of A2 Chapter 7 Review - UCHS
NAME ____________________________________________ DATE _____________________________ PERIOD _____________
Chapter 7 REVIEW SCORE ___________ 1. Determine whether the function y = 0.3 !
!
! represents exponential growth or
decay.
2. Write an exponential function whose graph passes through the points (0, –5) and (–3, –40).
3. Solve 9!! ! ! = 243! ! !.
4. Solve !!
! ! != 16.
5. Solve 10! ! ! > 100!!!.
6. Write the equation 5!! = !!"#
in logarithmic form.
7. Evaluate log! 6!.
8. Evaluate log!128.
NAME ____________________________________________ DATE _____________________________ PERIOD _____________
9. Solve log!" x = !!.
10. Solve log! (2x + 5) ≤ log! (3x – 2).
Use 𝐥𝐨𝐠𝟓 2 ≈ 0.4307 and 𝐥𝐨𝐠𝟓3 ≈ 0.6826 to approximate the value of each expression. 11. log! 18 12. log! !
!
For Questions 14-19, solve each equation or inequality. If necessary, round to the nearest ten-thousandth. 13. log!n = !
! log! 64 + !
! log!49
14. log!(5 – 2a) – log!(3a) = 1 15. log!(x – 3) + log!(x + 2) = log!6 16. 7! ! ! = 80
NAME ____________________________________________ DATE _____________________________ PERIOD _____________
17. 3! = 6! ! !
18. 5!! ! ! < 30 19. Express log!"5 in terms of common logarithms. Then approximate its value
to the nearest ten-thousandth. 20. Suppose you deposit $500 in an account paying 4% annual interest,
compounded continuously. Use A = 𝑃𝑒!" to find the balance after 5 years. 21. Solve ln (x + 4) = 4. 22. Solve 𝑒!!! ≤ 18. 23. CHEMISTRY In 5 years, radioactivity reduces the mass of a 100-gram
sample of an element to 75 grams. Find the constant k for this element for t in years, then write the equation for modeling this exponential decay.
24. SAVINGS A savings account deposit of $300 is to earn 5.8% interest. After
how many years will the investment be worth $900? Use y = a (1 + 𝑟)!and round to the nearest tenth.
25. Evaluate (log!20!)( log!"5!).