Common Core HSF.BF.B.5 worksheet

Question 1

Evaluate log₁₀ 10.

Answer 

Question 2

Solve log₅(3x + 7) = 2.

x = 

Question 3

Solve log₃ x + log₃(x + 2) = 1.

Answer 

Question 4

f(x) = √(x − 9), x ≥ 9. Find f⁻¹(x).

Answer 

Question 5

Solve 3ˣ = 138. Give x to 3 decimal places.

Answer 

Question 6

What is the inverse of f(x) = 5ˣ?

• A. x/5
• B. 5⁻ˣ
• C. log_5(x)
• D. 1/5ˣ

Question 7

Evaluate log₃ (1/27).

Answer 

Question 8

Solve: log_5(4x + 5) = 1. Give x as a number (fractions allowed).

Answer (as a fraction)

Question 9

Solve log₃ x = 3.

Answer 

Question 10

Evaluate log_3(9) + log_3(27).

Answer 

Question 11

Write 2^4 = 16 in logarithmic form.

• A. log₂ 4 = 16
• B. log₄ 16 = 2
• C. log₂ 16 = 4
• D. log₁₆ 2 = 4

Question 12

Zoe is revising the product law of logarithms. Which statement is true?

• A. log(a + b) = log a + log b
• B. log(a/b) = log a ÷ log b
• C. log(ab) = log a × log b
• D. log(ab) = log a + log b

Question 13

Solve: 2^(x + 3) = 4

x = 

Question 14

Evaluate log_4(4).

Answer 

Question 15

Evaluate log₈ 16. Give a fraction if needed.

Answer (as a fraction)

Question 16

Evaluate log₂ 1.

Answer