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What is the value of log_2(8) + log_2(4)?

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Question: What is the value of log_2(8) + log_2(4)?

Options:

  1. 5
  2. 6
  3. 7
  4. 8

Correct Answer: 5

Solution: 

log_2(8) = 3 and log_2(4) = 2, thus log_2(8) + log_2(4) = 3 + 2 = 5.

What is the value of log_2(8) + log_2(4)?

Practice Questions

Q1
What is the value of log_2(8) + log_2(4)?
  1. 5
  2. 6
  3. 7
  4. 8

Questions & Step-by-Step Solutions

What is the value of log_2(8) + log_2(4)?
  • Step 1: Understand that log_2(8) means 'to what power do we raise 2 to get 8?'.
  • Step 2: Since 2 raised to the power of 3 equals 8, we find that log_2(8) = 3.
  • Step 3: Next, understand that log_2(4) means 'to what power do we raise 2 to get 4?'.
  • Step 4: Since 2 raised to the power of 2 equals 4, we find that log_2(4) = 2.
  • Step 5: Now, we add the two results together: log_2(8) + log_2(4) = 3 + 2.
  • Step 6: Finally, calculate 3 + 2, which equals 5.
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