Solving Logarithmic Equations (Algebra 2)
Free printable Algebra 2 worksheet on solving logarithmic equations, including the domain check that rejects extraneous solutions.
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Algebra 2 · Math worksheet
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Math
Algebra 2: Solving Logarithmic Equations
Solve each equation, then check every candidate against the domain (each logarithm's argument must be positive) and reject any extraneous solution.
Word bank
X = 2X = 3X = 4X = 5X = 6X = 8X = 9X = 25
- 1.Solve for x and check the domain: log₂(3x - 5) = 2
- 2.Solve for x and reject any extraneous solution: log₅(x) + log₅(x - 20) = 3
- 3.Solve for x and check the domain: log₂(3x - 22) = 1
- 4.Solve for x and reject any extraneous solution: log(x) + log(x - 3) = 1
- 5.Solve for x and check the domain: log₃(x + 5) = 2
- 6.Solve for x and reject any extraneous solution: log₃(x) + log₃(x - 6) = 3
- 7.Solve for x and check the domain: log(x + 991) = 3
- 8.Solve for x and reject any extraneous solution: log₂(x) + log₂(x - 1) = 1
- 9.Solve for x and check the domain: log₅(4x - 19) = 1
- 10.Solve for x and reject any extraneous solution: log₃(x) + log₃(x - 8) = 2
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