Lesson Worksheet: Evaluating Logarithms Mathematics • 10th Grade

In this worksheet, we will practice evaluating logarithms using the relation between exponents and logarithms.

Q1:

What is the value of log8?

Q2:

What is the value of log5?

Q3:

Find the value of log256, giving your answer in its simplest form.

  • A12
  • B2
  • C4
  • D8

Q4:

What is the value of log1128?

Q5:

What is the value of log128?

Q6:

Find the value of log22.08 correct to 4 decimal places.

Q7:

Use a calculator to find the value of log53. Give your answer correct to four decimal places.

Q8:

If log(𝑥8)=3, what is the value of 𝑥?

Q9:

Given that 𝑥=5+26, find the value of log1𝑥+𝑥.

Q10:

Triangle 𝐴𝐵𝐶 is right-angled at 𝐴. Find its area, given that 𝐴𝐵=49logcm and 𝐴𝐶=512logcm.

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