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_5(2x) = 3. Give x as a number (fractions allowed).
Answer(as a fraction)
Question 2
Solve: 5^(x − 2) = 3125
x =
Question 3
Solve 7ˣ = 132. Give x to 3 decimal places.
Answer
Question 4
Solve: log_5(4x − 2) = 3. Give x as a number (fractions allowed).
Answer(as a fraction)
Question 5
Solve: 5^(x + 1) = 25
x =
Question 6
Solve 3ˣ = 82. Give x to 3 decimal places.
Answer
Question 7
Solve: log_4(4x − 5) = 1. Give x as a number (fractions allowed).
Answer(as a fraction)
Question 8
Solve: 3^(x + 3) = 9
x =
Question 9
Solve 3ˣ = 144. Give x to 3 decimal places.
Answer
Question 10
Solve: log_2(2x − 3) = 1. Give x as a number (fractions allowed).
Answer(as a fraction)
Question 11
Solve: 5^(x − 3) = 5
x =
Question 12
Solve 7ˣ = 5. Give x to 3 decimal places.
Answer
Question 13
Solve: log_4(4x + 1) = 3. Give x as a number (fractions allowed).
Answer(as a fraction)
Question 14
Solve: 2^(x + 2) = 16
x =
Question 15
Solve 7ˣ = 177. Give x to 3 decimal places.
Answer
Question 16
Solve: log_2(x − 3) = 1. Give x as a number (fractions allowed).
Answer(as a fraction)
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