Final answer:
The logarithmic equation log2(J) = K can be rewritten in exponential form as 2^K = J. This reflects the definition that the exponent K is the power to which the base 2 must be raised to obtain J.
Step-by-step explanation:
To write the logarithmic equation log2(J) = K as an exponential equation, you need to understand the definition of a logarithm. A logarithm “logb(x) = y” is another way of writing “by = x”, where b is the base, and y is the exponent to which the base must be raised to obtain x.
In your given equation, 2 is the base, J is the number you're trying to find by raising 2 to the power K. Hence, the exponential form of the equation is 2K = J.
This conversion from logarithmic to exponential form is useful in many areas, including solving exponential equations, analyzing exponential growth or decay models, and understanding investment growth.