If log_a(b) = c, what is b in terms of a and c?

Practice Questions

Q1
If log_a(b) = c, what is b in terms of a and c?
  1. a^c
  2. c^a
  3. a/c
  4. c/a

Questions & Step-by-Step Solutions

If log_a(b) = c, what is b in terms of a and c?
  • Step 1: Understand the equation log_a(b) = c. This means that 'a' raised to the power of 'c' equals 'b'.
  • Step 2: Rewrite the logarithmic equation in exponential form. The exponential form of log_a(b) = c is a^c = b.
  • Step 3: Identify 'b' in the equation. From the exponential form, we see that b is equal to a raised to the power of c.
  • Step 4: Write the final answer. Therefore, b = a^c.
  • Logarithmic Functions – Understanding the relationship between logarithms and exponents, specifically that if log_a(b) = c, then b can be expressed as a raised to the power of c.
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