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. How many times does the graph \(y = (\sin x) + 2\) touch the x-axis? (Remember, you may not use an electronic device to graph.)
e. Infinitely many times.