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Mathematics 116 test three
Thursday, November 18, 2004
please show your work to get full credit for each problem
1. Convert the equation ex = M to
a logarithmic equation.
2. Convert the equation log H = p
to an exponential equation.
(3–4) Use a calculator to estimate the value of each expression to the nearest hundredth:
3. 800e(−.06)(30)
4.
log2 17
5. The domain of y = log(x) is
.
(6–8) Simplify:
6.
ln e2004
8. 10−2 log x
7. 10log x
9–10. If log M = .21 and log N = .35 then
9.
log(M N ) =
.
M
log
N
10.
=
.
page two
11. Solve for t:
800e−.06t = 50
13. Solve for x:
21−x = 3x
12. Solve for x:
− log2 (−x) = 3
14. Rewrite without logarithms:
log V = log C + 3 log r
page three
15. Use the properties of logarithms to expand:
10x3
log √
2x − 1
!
16. A bank account offers interest at an annual percentage rate of 3.6%, compounded
monthly. One sum of $ 1,000 is deposited into the account, and no further deposits or
withdrawals are made. Only interest causes the account to grow.
• How much money will the account contain after 20 years?
• How many years will pass before the account contains $10,000 ?