If logaB = k, what is the relationship between a, b, and k?

The expression logaB = k indicates that "a raised to the power of k equals B." This means that if you take the base a and raise it to the exponent k, the result is B. This can be written mathematically as a^k = B.

This logarithmic relationship essentially reverses the roles of the exponential and logarithmic functions. The base a logarithm of B produces the exponent k, which means that raising a to the power of k will yield B.

The correct answer captures this fundamental definition of logarithms and their relationship with exponents. Understanding this allows for the transformation of logarithmic equations into exponential form, which is a key skill in algebra and mathematics generally.