Exercises for Question Type 2: Solving for x more difficult equations

Question 1

Skill question

Solve for $x$ : $x^{2} - 5 x + 6 = 0$

[2]

Question 2

Skill question

Solve for $x$ : $x + 2 = 5$

[2]

Question 3

Skill question

Solve for $x$ : $2^{x} = 16$

[2]

Question 4

Skill question

Solve for $x$ : $x^{2} + 5 x + 6 = (x + 3) ln (x), x > 0$

[5]

Question 5

Skill question

Solve for $x$ :

$ln (x) + x = 4, x > 0$

[3]

Question 6

Skill question

Solve for $x$ : $ln (x) + ln (x + 1) = 1, x > 0$

[4]

Question 7

Skill question

Solve for $x$ : $x^{2} + 4 = 2 x + 6$

[3]

Question 8

Skill question

Solve for $x$ : $\ln\bigl(x^2 - 1\bigr) = 2$

[4]

Question 9

Skill question

Solve for $x$ : $x e^{x} = 10$

[2]

Question 10

Skill question

Solve for $x$ : $e^{2 x} = 7$

[2]

Question 11

Skill question

Solve for $x$ : $3 x + 5 = 20$

[2]

Question 12

Skill question

Solve for $x$ : $ln (x) = 3$

[2]

IB Mathematics Analysis and Approaches Question Type 2: Solving for x More Difficult Equations Exercises