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.