Logarithmic Function Manipulation Worksheet
Practice manipulating logarithmic functions and applying logarithm properties.
Includes
Multiple ChoiceFill in the BlanksShort AnswerTrue / FalseCustom
Standards
CCSS.MATH.CONTENT.HSF.BF.B.3CCSS.MATH.CONTENT.HSF.LE.A.4
Topics
MathLogarithmsAlgebraFunctionsGrade 9
7 sections · Free to use · Printable
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)?
a
log(a + b)
b
log(a * b)
c
log(a / b)
d
log(a)^b
2. What is the value of log₂(8)?
a
2
b
3
c
4
d
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.
T
True
F
False
8. log(x + y) = log(x) + log(y).
T
True
F
False
9. Solve for x: log₃(x) = 4
10. Solve for x: log₂(x + 1) = 3