Solve logarithmic equations
11th grade (Year 12 in England) · 16 questions · Common Core: HSF.BF.B.5 · England: A-level Pure Mathematics
Name
Date
Score/ 16
Question 1
Solve log₃ x + log₃(x − 2) = 1.
Answer
Question 2
Solve log₃(4x − 5) = 3.
x =
Question 3
Solve log₁₀ x + log₁₀(x + 9) = 1.
Answer
Question 4
Solve log₅(x) = 2.
x =
Question 5
Solve log₂ x + log₂(x − 7) = 3.
Answer
Question 6
Solve log₂(3x + 7) = 4.
x =
Question 7
Solve log₁₀ x + log₁₀(x − 15) = 2.
Answer
Question 8
Solve log₃(2x − 1) = 1.
x =
Question 9
Solve log₁₀ x + log₁₀(x + 246) = 3.
Answer
Question 10
Solve log₁₀(3x − 5) = 1.
x =
Question 11
Solve log₁₀ x + log₁₀(x − 3) = 1.
Answer
Question 12
Solve log₃(2x − 9) = 1.
x =
Question 13
Solve log₁₀ x + log₁₀(x + 999) = 3.
Answer
Question 14
Solve log₁₀(4x − 6) = 1.
x =
Question 15
Solve log₁₀ x + log₁₀(x + 999) = 3.
Answer
Question 16
Solve log₁₀(3x − 5) = 3.
x =
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