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If log_a(b) = c, which of the following is equivalent to this expression?

Practice Questions

Q1
If log_a(b) = c, which of the following is equivalent to this expression?
  1. a^c = b
  2. b^c = a
  3. c^a = b
  4. a^b = c

Questions & Step-by-Step Solutions

If log_a(b) = c, which of the following is equivalent to this expression?
  • Step 1: Understand what log_a(b) = c means. This means that 'a' raised to the power of 'c' equals 'b'.
  • Step 2: Rewrite the logarithmic expression in exponential form. This means you take 'a', raise it to the power of 'c', and set it equal to 'b'.
  • Step 3: Write the final expression as a^c = b.
  • Logarithmic and Exponential Relationships – Understanding the relationship between logarithmic expressions and their equivalent exponential forms.
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