Logarithmic Function Manipulation Worksheet
Practice manipulating logarithmic functions and applying logarithm properties.
Includes
Standards
Topics
Logarithmic Function Manipulation
Name:
Date:
Score:
Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. Which of the following is equivalent to log(a) + log(b)?
log(a + b)
log(a * b)
log(a / b)
log(a)^b
2. What is the value of log₂(8)?
2
3
4
8
3. The inverse of an exponential function is a function.
4. The property log(x) - log(y) is equal to log( ).
5. Expand the expression: log(x²y³).
6. Condense the expression: 2log(a) + 3log(b) - log(c).
7. log(1) = 0 for any base.
True
False
8. log(x + y) = log(x) + log(y).
True
False
9. Solve for x: log₃(x) = 4
10. Solve for x: log₂(x + 1) = 3
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