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If log_3(9) + log_3(27) = x, what is the value of x?

Practice Questions

Q1
If log_3(9) + log_3(27) = x, what is the value of x?
  1. 2
  2. 3
  3. 4
  4. 5

Questions & Step-by-Step Solutions

If log_3(9) + log_3(27) = x, what is the value of x?
  • Step 1: Understand that log_3(9) means 'to what power do we raise 3 to get 9?'
  • Step 2: Since 3^2 = 9, we find that log_3(9) = 2.
  • Step 3: Next, understand that log_3(27) means 'to what power do we raise 3 to get 27?'
  • Step 4: Since 3^3 = 27, we find that log_3(27) = 3.
  • Step 5: Now, we add the two results together: 2 + 3.
  • Step 6: Therefore, x = 5.
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