Exercises for Question Type 5: Simplifying expressions to a single logarithm

Question 1

Skill question

Express $lo g_{5} (a^{3}) + 4 lo g_{5} (b)$ as a single logarithm.

[2]

Question 2

Skill question

Simplify $2 lo g_{2} (x) - lo g_{2} (8)$ to a single logarithm.

[2]

Question 3

Skill question

Simplify $lo g_{3} (7) + lo g_{3} (5)$ to a single logarithm.

[2]

Question 4

Skill question

Express $5 lo g_{5} (x) - lo g_{5} (x^{3} y)$ as a single logarithm.

[3]

Question 5

Skill question

(No specification provided)

Simplify $ln (x) - 3 ln (y) + 2 ln (z)$ to a single logarithm.

[3]

Question 6

Skill question

Simplify $lo g_{4} (16 x) - lo g_{4} (2 y)$ to a single logarithm.

[2]

Question 7

Skill question

Simplify $lo g_{3} (9) + lo g_{3} (x^{2}) - 2 lo g_{3} (y)$ to a single logarithm.

[3]

Question 8

Skill question

Simplify $lo g_{2} (8) + lo g_{2} (4) - 3 lo g_{2} (x)$ to a single logarithm.

[3]

Question 9

Skill question

Simplify $3 lo g_{10} (2) + lo g_{10} (25)$ to a single logarithm.

[3]

Question 10

Skill question

Simplify $lo g_{x} (y) - 4 lo g_{x} (2 y)$ to a single logarithm.

[3]

Question 11

Skill question

Combine $lo g_{7} (m) + lo g_{7} (n) - lo g_{7} (p)$ into a single logarithm. [2 marks]

[2]

Question 12

Skill question

Simplify $ln (a) - ln (b) + ln (c)$ to a single logarithm.

[2]

IB Mathematics Analysis and Approaches Question Type 5: Simplifying Expressions to a Single Logarithm Exercises

IB Mathematics Analysis and Approaches Question Type 5: Simplifying Expressions to a Single Logarithm Exercises