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
- e −.02^ t = 4
5 – 8 Rewrite in equivalent exponential form:
- log 81 3 = 4
6. log ( x + 1 ) = 2
- ln y = x
8. ln ( z ) + ln ( z − 1 ) = 2
(Hint: first rewrite as a single logarithm.)
- Solve for t : e −.02^ t = 4 Round your answer to 3 decimal places. (Hint: look at your answer to number 3.)
- Solve for x : 2 x^ = 200 Round your answer to 3 decimal places.
- 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?
- How long did it take for the money to double to $4000?
- 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
- The domain of the natural log is ____________ and the range is ____________.
- The domain of the exponential function is _____________ and the range is _____________.
- What is ln e^2? _________
- Why?
- 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.
