In the expression a^b = c, what logarithmic form corresponds to this equation?

The expression a^b = c can be converted to logarithmic form using the definition of a logarithm. In this case, rewriting the exponential equation in logarithmic form means identifying the base, the result, and the exponent correctly.

In the equation a^b = c, 'a' is the base, 'b' is the exponent, and 'c' is the result of raising 'a' to the power of 'b'. The logarithmic form states that the logarithm of the result 'c' with base 'a' equals the exponent 'b'. This can be expressed as log base a of c equals b.

Thus, the correct conversion shows that if you raise 'a' to the power of 'b' to get 'c', then log base a of 'c' will equal 'b'. This relationship reflects the fundamental property of logarithms and is at the core of understanding how exponentiation and logarithms relate to each other.