Logarithmic Expansion Practice
Expand logarithmic expressions using the properties of logarithms.
Includes
3 Short AnswerFill in the BlanksMultiple Choice
Standards
CCSS.MATH.CONTENT.HSF.BF.B.3
Topics
MathLogarithmsAlgebra 2
7 sections · Free to use · Printable
Logarithmic Expansion Practice
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Expand each logarithmic expression completely using the properties of logarithms. Show all your work.
1. Expand: log₃(xy²)
2. Expand: log₅(x/z³)
3. The product rule for logarithms states that logb(MN) = .
4. The quotient rule for logarithms states that logb(M/N) = .
5. The power rule for logarithms states that logb(M^p) = .
6. Expand: ln(√(x³y))
7. Expand: log((a²b)/c⁴)
8. Which of the following is the correct expansion of log₂(8x)?
a
log₂(8) + log₂(x)
b
log₂(8x)
c
8 log₂(x)
d
log₂(8) * log₂(x)
9. Expand: log₃((x⁵y²) / (z√w))