The relationship between logarithms and exponentials is that they are inverses of each other. That is, they are reflected about the line y = x. In order to rewrite logarithms, we need to understand the basic fundamentals of them: [tex]log_ab = y[/tex]
This is essentially saying: "If we raise a to the y-th power, we get the answer to b". Using this, we can say: [tex]log_2x = 3 \rightarrow 2^{3} = x[/tex]