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Exercises for Question Type 8: Using logarithms to solve equations with unknown exponents - IB

IB
Question Type 8: Using logarithms to solve equations with unknown exponents

IB Mathematics Analysis and Approaches Question Type 8: Using Logarithms to Solve Equations with Unknown Exponents Exercises

Written by official IB examiners

Question 1

Skill question

Solve $5^{2 x - 1} = 7$ .

[3]

Question 2

Skill question

Solve $7^{3 - x} = 5$ .

[2]

Question 3

Skill question

Solve $e^{x} = 7$ .

[2]

Question 4

Skill question

Solve $\frac{2 ^{x}}{8} = 5$ .

[3]

Question 5

Skill question

Solve $(\frac{1}{2})^{x - 3} = 16$ .

[3]

Question 6

Skill question

Solve $2^{x} = 23$ .

[2]

Question 7

Skill question

Solve $9^{x} = 2$ .

[2]

Question 8

Skill question

Solve $1 0^{x} = 500$ .

[3]

Question 9

Skill question

Solve $e^{2 x} = 20$ .

[2]