Homework # 4 - Math 149
The problems on this homework must be done alone. The honor code is in effect.
First name: Last name:
Do problems 1-4 without using a calculator.
1. \(\log_5 1 = \)
a. 23
b. -1
c. 1
d. 2
e. 0
2. \(log_{10} 500\) is between which two numbers?
a. 0 and 1
b. 1 and 2
c. 2 and 3
d. 3 and 4
e. 4 and 5
3. \( \log_3 \frac{1}{81} =\)
a. -4
b. -3
c. \( \frac{1}{27}\)
d. \( -\frac{1}{27}\)
e. \( \frac{1}{343}\)
4. \( \log_9 3 =\)
a. 0
b. 1
c. \( \frac{1}{2}\)
d. \( \frac{3}{2}\)
e. -2
5. How many times does the graph \(y = x^4\) cross the line \(y = 2\)?
a. None.
b. Once.
c. Twice.
d. Three times.
e. Four times.
6. Evaluate \(\ln (e^{250})\) (think about it)
a. e250
b. 250
c. ln 250
d. log 250
e. ln 500
7. One angle in a right-angled triangle measures 20o, and the side opposite to that angle measures 15 cm. To the nearest tenth of a centimeter, find the length of the side adjacent to given angle. In this course, please include units in your answers when there are units in the question.
a. 41.2 cm
b. 5.5 cm
c. 43.9 cm
d. 16.0 cm
e. 5.1 cm
8. Convert \(450^o\) to radians.
a. (3/2)π
b. (2/3)π
c. (5/2)π
d. (2/5)π
e. 3/2