Elective Mathematics

Question 1

1Simplify log 8 ÷ log 2.

Easy

A. 6 B. log 4 C. 4 D. 3

Question 2

2Simplify log₃ 27 + log₃ 3.

Easy

A. 81 B. 4 C. 3 D. 30

Question 3

3Simplify 8^(2/3).

Easy

A. 2 B. 4 C. 16/3 D. 64

Question 4

4Evaluate log₄ 8.

Medium

A. 1/2 B. 2/3 C. 3/2 D. 2

Question 5

5Solve 2ˣ = 32.

Easy

A. 4 B. 5 C. 6 D. 16

Question 6

6Solve 2^x = 7, giving x to 2 decimal places (log 2 = 0.3010, log 7 = 0.8451).

Hard

A. 2.81 B. 3.50 C. 2.31 D. 0.36

Question 7

7Solve log₂ x + log₂ (x − 2) = 3.

Hard

A. 2 B. −2 C. 4 D. 4 or −2

Question 8

8Solve log x + log 4 = log 20.

Easy

A. 24 B. 5 C. 16 D. 80

Question 9

9Solve log₃ x = 4.

Easy

A. 64 B. 12 C. 7 D. 81

Question 10

10Express log 12 in terms of log 2 and log 3.

Easy

A. log 2 × log 3 B. 6 log 2 C. 2 log 2 + log 3 D. log 2 + 2 log 3