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Which of the following is the correct property of logarithms?

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Question: Which of the following is the correct property of logarithms?

Options:

  1. log_a(b) + log_a(c) = log_a(bc)
  2. log_a(b) - log_a(c) = log_a(b/c)
  3. log_a(b^c) = c * log_a(b)
  4. All of the above

Correct Answer: All of the above

Solution:

All the listed properties are correct and fundamental to logarithmic functions.

Which of the following is the correct property of logarithms?

Practice Questions

Q1
Which of the following is the correct property of logarithms?
  1. log_a(b) + log_a(c) = log_a(bc)
  2. log_a(b) - log_a(c) = log_a(b/c)
  3. log_a(b^c) = c * log_a(b)
  4. All of the above

Questions & Step-by-Step Solutions

Which of the following is the correct property of logarithms?
  • Step 1: Understand what logarithms are. Logarithms are the inverse operations of exponentiation.
  • Step 2: Familiarize yourself with the basic properties of logarithms, such as the product property, quotient property, and power property.
  • Step 3: Review the properties listed in the question to see if they match the known properties of logarithms.
  • Step 4: Confirm that all the properties listed are indeed correct and fundamental to logarithmic functions.
  • Step 5: Conclude that since all properties are correct, the answer to the question is that all listed properties are correct.
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