Worksheet: Laws of Logarithms
In this worksheet, we will practice using the laws of logarithms to simplify logarithmic expressions.
Q4:
Determine the value of without using a calculator.
- A
- B
- C3
- D
- E
Q5:
What is the value of ?
- A
- B
- C
- D
- E
Q6:
Without using a calculator, find the approximate value of given that .
Q7:
Find the approximate value of , given that .
Q10:
Given that , find the value of .
Q11:
Find .
Q12:
Find the value of without using a calculator.
Q13:
If , what interval contains ?
- A
- B
- C
- D
- E
Q14:
Given that and , round the value of without using a calculator.
- A2.3502
- B1.1461
- C
- D4.5265
- E0.6601
Q15:
Find the value of correct to four decimal places.
Q16:
Find the value of without using a calculator.
Q17:
Find the value of , giving your answer in its simplest form.
Q18:
Given that and , find in terms of and .
- A
- B
- C
- D
- E
Q19:
Calculate .
Q20:
Given that , evaluate .
Q21:
Find the value of in its simplest form.
Q22:
Simplify completely.
- A
- B
- C
- D
- E
Q23:
Evaluate .
- A
- B
- C1
- D
Q24:
If is any real, positive number except 1, which of the following is equal to ?
- A1
- B
- C
- D
Q25:
Is it true that ?
- Ano
- Byes