Exercises for Question Type 4: Constructing, converting and solving Polynomial equations using technology

Question 1

Skill question

Solve the equation $lo g_{2} (x + 1) + lo g_{2} (2 x + 1) = lo g_{2} (6)$ for $x$ .

[7]

Question 2

Skill question

Solve the equation $lo g_{5} (x^{2} - 3 x + 2) = lo g_{5} (x - 1) + 1$ for $x$ .

[6]

Question 3

Skill question

Solve the equation $lo g_{2} (2 x + 1) + lo g_{2} (x - 1) = 2$ for $x$ .

[7]

Question 4

Skill question

Solve the equation $2 lo g_{10} (x - 1) = lo g_{10} (9)$ for $x$ .

[5]

Question 5

Skill question

Solve the equation $2 lo g_{3} (x) = lo g_{9} (x^{2} + 2)$ for $x$ .

[6]

Question 6

Skill question

Solve the equation $2 lo g_{3} (x - 1) = lo g_{3} (x + 5)$ for $x$ .

[6]

Question 7

Skill question

Solve the equation $lo g_{10} (x - 1) + lo g_{10} (x - 4) = 1$ for $x$ . [7 marks]

[7]

Question 8

Skill question

Solve the equation $2 lo g_{3} (x + 2) = lo g_{3} (2 x + 5)$ for $x$ .

[7]

Question 9

Skill question

Solve the equation $2 lo g_{2} (x) = lo g_{2} (8 x - 4)$ for $x$ .

[6]

Question 10

Skill question

Solve the equation $lo g_{3} (x) + lo g_{3} (x - 2) = 2$ for $x$ .

[6]

Question 11

Skill question

Solve the equation $lo g_{3} (x + 2) - lo g_{3} (x - 1) = 2$ for $x$ .

[4]

Question 12

Skill question

Solve the equation $2 lo g_{2} (x + 1) - lo g_{2} (x - 1) = 3$ for $x$ .

[6]

IB Mathematics Applications & Interpretation Question Type 4: Constructing, Converting and Solving Polynomial Equations Using Technology Exercises