Worksheet: Evaluating Logarithms

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In this worksheet, we will practice evaluating logarithms of different bases using laws of logarithms.

Q1:

Find the value of l o g √ 2 5 6 , giving your answer in its simplest form.

  • A8
  • B4
  • C 1 2
  • D2

Q2:

What is the value of l o g 5 ?

Q3:

What is the value of l o g 8 ?

Q4:

What is the value of l o g 1 1 2 8 ?

Q5:

What is the value of l o g 1 2 8 ?

Q6:

What is the value of l o g √ 3 2 √ 2 ?

Q7:

What is the value of l o g √ 1 1 2 5 √ 5 ?

Q8:

Find the value of l o g l o g l o g l o g 𝑥 − 𝑥 .

Q9:

Given that 𝐿 and 𝑀 are the two roots of the equation 𝑥 − 3 6 𝑥 + 1 2 8 = 0 , determine the value of l o g 𝐿 + l o g 𝑀 .

Q10:

Calculate 2 4 + 7 1 3 l o g l o g , giving your answer to the nearest thousandth.

Q11:

What is the value of l o g √ 2 4 3 √ 3 ?

Q12:

What is the value of l o g 6 4 ?

Q13:

What is the value of l o g 2 ?

Q14:

What is the value of l o g 2 5 6 ?

Q15:

What is the value of l o g 1 1 6 ?

Q16:

What is the value of l o g 1 2 5 6 ?

Q17:

What is the value of l o g 8 1 ?

Q18:

What is the value of l o g 2 4 3 ?

Q19:

What is the value of l o g 2 ?

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