Introduction to Logarithms

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Show your work for each problem.

1.
What does equal?
1. a)4
2. b)3
3. c)2
4. d)8
2.
Which expression is equivalent to ?
1. a)
2. b)
3. c)
4. d)
3.
Evaluate . (Remember: means )
4.
What is ?
5.
What is ?
1. a)
2. b)0
3. c)2.718
4. d)1
6.
Evaluate .
7.
Evaluate .
8.
Write in logarithmic form.
1. a)
2. b)
3. c)
4. d)
9.
Convert to exponential form.
10.
Evaluate step by step.
11.
Which statement is TRUE about logarithms?
1. a) for any base
2. b)
3. c) for any valid base
4. d)
12.
Evaluate .
13.
Evaluate by expressing 256 as a power of 4.
14.
A sound is measured at 80 dB. Another sound is measured at 50 dB. How many times more intense is the first sound? Use .
15.
Which of the following is undefined?
1. a)
2. b)
3. c)
4. d)
16.
Convert to logarithmic form and verify.
17.
If , what is ?