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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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