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Worksheet: The Properties of Logarithms

Q1:

If is any positive, real number, which of the following is equal to ?

  • A
  • B
  • C
  • D

Q2:

Is it true that ?

  • Ano
  • Byes

Q3:

Which of the following is equal to ?

  • A
  • B
  • C
  • D

Q4:

Which of the following is equal to ?

  • A
  • B
  • C
  • D

Q5:

Find the value of without using a calculator.

Q6:

Find the value of without using a calculator.

Q7:

If , what is the value of ?

Q8:

If , what is the value of ?

Q9:

If , what is the value of ?

Q10:

Find the value of without using a calculator.

Q11:

Find the solution set of in .

  • A
  • B
  • C
  • D

Q12:

Find the solution set of in .

  • A
  • B
  • C
  • D
  • E

Q13:

Which of the following is equal to ?

  • A
  • B
  • C
  • D
  • E

Q14:

Calculate .

  • A9
  • B2
  • C
  • D
  • E5

Q15:

Find the perimeter of the figure below.

Q16:

Determine the perimeter of the figure below.

Q17:

Simplify .

  • A12
  • B4
  • C2
  • D
  • E5

Q18:

Find the value of without using a calculator.

Q19:

Find the value of .

Q20:

Find the solution set of in .

  • A
  • B
  • C
  • D
  • E

Q21:

Find the solution set of in .

  • A
  • B
  • C
  • D

Q22:

Find the solution set of in .

  • A
  • B
  • C
  • D

Q23:

Find the solution set of in .

  • A
  • B
  • C
  • D
  • E

Q24:

Find the solution set of in .

  • A
  • B
  • C
  • D
  • E

Q25:

Find the solution set of in .

  • A
  • B
  • C
  • D
  • E

Q26:

Given that and , find in terms of and .

  • A
  • B
  • C
  • D
  • E

Q27:

Given that , what is the value of ?

  • A
  • B
  • C
  • D
  • E

Q28:

Find the value of without using a calculator.

Q29:

Simplify .

  • A3
  • B1
  • C
  • D2
  • E8