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23 Questions on Precalculus II - Exam | MATH 162, Exams of Pre-Calculus

Material Type: Exam; Class: Precalculus II; Subject: Mathematics; University: Community College of Philadelphia; Term: Spring 2004;

Typology: Exams

Pre 2010

Uploaded on 08/16/2009

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Math 162 Test 1 Name_______________________________
1 – 4 Rewrite in equivalent logarithmic form:
1.
4
10 .0001
=
2.
()
1.08 2
t=
3.
.02 4
t
e=
4. 41
216
=
5 – 8 Rewrite in equivalent exponential form:
5.
3
log 81 4=
6.
()
log 1 2x+=
7. l
nyx=
8.
() ( )
ln ln 1 2zz+−=
(Hint: first rewrite as a single logarithm.)
9. Solve for t:
.02 4
t
e=
Round your answer to 3 decimal places.
(Hint: look at your answer to number 3.)
10. Solve for x: 2 200
x=
Round your answer to 3 decimal places.
pf3
pf4

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Download 23 Questions on Precalculus II - Exam | MATH 162 and more Exams Pre-Calculus in PDF only on Docsity!

Math 162 Test 1 Name_______________________________

1 – 4 Rewrite in equivalent logarithmic form:

1. 10 −^4 =.

t

  1. e −.02^ t = 4

5 – 8 Rewrite in equivalent exponential form:

  1. log 81 3 = 4

6. log ( x + 1 ) = 2

  1. ln y = x

8. ln ( z ) + ln ( z − 1 ) = 2

(Hint: first rewrite as a single logarithm.)

  1. Solve for t : e −.02^ t = 4 Round your answer to 3 decimal places. (Hint: look at your answer to number 3.)
  2. Solve for x : 2 x^ = 200 Round your answer to 3 decimal places.
  1. On January 2000, $2000 is placed in and Individual Retirement Account (IRA) that will pay 8% per annum compounded yearly. What will the IRA be worth in January 2020?
  2. How long did it take for the money to double to $4000?
  3. Sketch the graph of on the axis below. State clearly what the

domain and range of each are, by filling in the blanks:

y = ex^ and y =ln x

  1. The domain of the natural log is ____________ and the range is ____________.
  2. The domain of the exponential function is _____________ and the range is _____________.
  3. What is ln e^2? _________
  4. Why?
  1. Extra credit if you have time and have checked all your answers:

Loudness is often measured in decibels. If x is the sound intensity measured in watts per

square meter the decibel level is given by 0

( ) 10 log

I

x

L x = where watts per

square meter, the least intense sound that a human ear can detect.

12

I = −

In this measurement, how many decibels is the least sound a human ear can detect?

If the intensity is 1,000,000 watts per square meter, what is the decibel level?

If a dripping faucet is 30 decibels, find the sound intensity.