Exponential and logarithmic equations
12th grade (Year 13 in England) · 16 questions · Common Core: HSF.LE.A.4, HSF.BF.B.5
Name
Date
Score/ 16
Question 1
Solve: log_3(x + 2) = 1. Give x as a number (fractions allowed).
Answer(as a fraction)
Question 2
Solve: 3^(x − 1) = 81
x =
Question 3
Solve 2ˣ = 167. Give x to 3 decimal places.
Answer
Question 4
Solve: log_4(3x + 4) = 1. Give x as a number (fractions allowed).
Answer(as a fraction)
Question 5
Solve: 3^(x − 1) = 3
x =
Question 6
Solve 5ˣ = 126. Give x to 3 decimal places.
Answer
Question 7
Solve: log_3(4x − 1) = 2. Give x as a number (fractions allowed).
Answer(as a fraction)
Question 8
Solve: 3^(x − 1) = 9
x =
Question 9
Solve 7ˣ = 64. Give x to 3 decimal places.
Answer
Question 10
Solve: log_2(4x − 3) = 3. Give x as a number (fractions allowed).
Answer(as a fraction)
Question 11
Solve: 3^(x − 3) = 9
x =
Question 12
Solve 3ˣ = 183. Give x to 3 decimal places.
Answer
Question 13
Solve: log_3(x − 4) = 1. Give x as a number (fractions allowed).
Answer(as a fraction)
Question 14
Solve: 3^(x − 3) = 9
x =
Question 15
Solve 7ˣ = 142. Give x to 3 decimal places.
Answer
Question 16
Solve: log_4(4x − 2) = 2. Give x as a number (fractions allowed).
Answer(as a fraction)
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