Exercises for Question Type 6: Using logₐ(a) = 1 and logₐ(1) = 0

Question 1

Skill question

Express $2 + lo g_{3} (7)$ as a single logarithm.

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Question 2

Skill question

Simplify $3 + lo g_{6} (1)$ .

[2]

Question 3

Skill question

Express $1 + lo g_{b} (a)$ as a single logarithm.

[2]

Question 4

Skill question

Simplify $3 + lo g_{2} (5)$ as a single logarithm.

[3]

Question 5

Skill question

Evaluate $lo g_{9} (1) + 5$ .

[2]

Question 6

Skill question

Write $4 + lo g_{10} (k)$ as a single base-10 logarithm.

[3]

Question 7

Skill question

Simplify $lo g_{7} (7) - lo g_{7} (49)$ .

[2]

Question 8

Skill question

Write $3 - lo g_{7} (2)$ as a single logarithm.

[3]

Question 9

Skill question

Simplify $- 1 + lo g_{2} (8)$ .

[2]

Question 10

Skill question

Express $lo g_{5} (3) + 2$ as a single logarithm.

[3]

Question 11

Skill question

Simplify $lo g_{2} (2) + lo g_{2} (8)$ as a single logarithm and evaluate it.

[3]

Question 12

Skill question

Simplify $5 - lo g_{4} (2)$ as a single logarithm.

[3]

IB Mathematics Analysis and Approaches Question Type 6: Using Logₐ(a) = 1 and Logₐ(1) = 0 Exercises

IB Mathematics Analysis and Approaches Question Type 6: Using Logₐ(a) = 1 and Logₐ(1) = 0 Exercises