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If log_2(8) + log_2(4) = x, what is the value of x?

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Question: If log_2(8) + log_2(4) = x, what is the value of x?

Options:

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

Correct Answer: 5

Solution: 

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

If log_2(8) + log_2(4) = x, what is the value of x?

Practice Questions

Q1
If log_2(8) + log_2(4) = x, what is the value of x?
  1. 4
  2. 5
  3. 6
  4. 7

Questions & Step-by-Step Solutions

If log_2(8) + log_2(4) = x, what is the value of x?
  • Step 1: Understand that log_2(8) means 'to what power do we raise 2 to get 8?'
  • Step 2: Calculate log_2(8). Since 2^3 = 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: Calculate log_2(4). Since 2^2 = 4, we find that log_2(4) = 2.
  • Step 5: Now, add the two results together: log_2(8) + log_2(4) = 3 + 2.
  • Step 6: Calculate the sum: 3 + 2 = 5.
  • Step 7: Therefore, the value of x is 5.
  • Logarithmic Properties – Understanding how to evaluate logarithms and apply properties such as the sum of logarithms.
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