Math Practice Test 4 Worksheet - South Georgia State College
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2MATH 1111 PRACTICE TEST 4 FALL 2009
1. Write in exponential form: ln 7 = 1.9459….
5
64
6
32
2. Write in logarithmic form:
2.4
3. Write in logarithmic form:
e
11.02317....
x
4. Without using a calculator evaluate
f x
( ) log
x
for
32
2
5. Use a calculator to evaluate
log 45 . Round your answer to two decimal places.
10
3
6. Solve for x:
log 7
x
7
7. Use a calculator to evaluate
log 36 . Round your answer to four decimal places.
5
8. Rewrite ln 36 in terms of ln 3 and ln 4
9. Approximate log 18
given that log 2 .3869
and log 3 .6131
b
b
b
xy
10. Use the properties of logarithms to rewrite
log
as sum, difference and/or constant
2
z
multiple of logarithms.
x
11. Use the properties of logarithms to rewrite
log
as sum, difference and/or constant
x
2
1
multiple of logarithms.
12. Condense 2ln
to the logarithm of a single quantity
x
ln(
x
3)
x
13. Solve 5(2 ) 215
14. Solve log 16 2
x
4
x
15. Solve
2
300
. Find an exact solution and then evaluate the solution correct to three
decimal places.
(
x
1)
16. Solve
5(2
) 14 286
. Find an exact solution and then evaluate the solution correct
to three decimal places.
17. Solve
log
x
log (
x
4) 1
5
5
kt
18. The number of bacteria in a culture after t hours is modeled by
N
300
e
. After 3 hours
there are 2000 bacteria.
(a) Find the value of k correct to four decimal places.
(b) Predict the number of bacteria present after 7 hours.
19. A piece of ancient wood was found to contain 22% of the amount of carbon-14 found in
living tissue. How old is the piece of wood? The half life of carbon-14 is 5715 years.
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