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 log₁₀ x + log₁₀(x + 117) = 3.
Answer
Question 2
Solve log₁₀(5x) = 1.
x =
Question 3
Solve log₁₀ x + log₁₀(x + 999) = 3.
Answer
Question 4
Solve log₁₀(4x − 2) = 1.
x =
Question 5
Solve log₃ x + log₃(x − 2) = 1.
Answer
Question 6
Solve log₃(4x + 1) = 2.
x =
Question 7
Solve log₁₀ x + log₁₀(x + 21) = 2.
Answer
Question 8
Solve log₁₀(4x − 6) = 1.
x =
Question 9
Solve log₃ x + log₃(x − 6) = 3.
Answer
Question 10
Solve log₃(2x + 9) = 3.
x =
Question 11
Solve log₂ x + log₂(x − 14) = 5.
Answer
Question 12
Solve log₁₀(4x − 8) = 2.
x =
Question 13
Solve log₃ x + log₃(x − 6) = 3.
Answer
Question 14
Solve log₅(3x + 1) = 2.
x =
Question 15
Solve log₂ x + log₂(x + 14) = 5.
Answer
Question 16
Solve log₁₀(2x + 8) = 2.
x =
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