Which of the following is NOT a property of logarithms?

Practice Questions

Q1
Which of the following is NOT a property of logarithms?
  1. log_a(b*c) = log_a(b) + log_a(c)
  2. log_a(b/c) = log_a(b) - log_a(c)
  3. log_a(b^c) = c*log_a(b)
  4. log_a(b) + log_a(c) = log_a(b*c) + log_a(b)

Questions & Step-by-Step Solutions

Which of the following is NOT a property of logarithms?
  • Step 1: Understand what logarithms are. Logarithms are the inverse operations of exponentiation.
  • Step 2: Familiarize yourself with the properties of logarithms. Common properties include: 1) log(a * b) = log(a) + log(b), 2) log(a / b) = log(a) - log(b), 3) log(a^b) = b * log(a).
  • Step 3: Read the statements provided in the question carefully to identify which one does not align with the properties of logarithms.
  • Step 4: Compare each statement against the known properties of logarithms.
  • Step 5: Identify the statement that is incorrect based on your comparison.
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