Chapter 7 - Algebra: Graphs, Functions, and Linear Systems - 7.6 Modeling Data: Exponential, Logarithmic, and Quadratic Functions - Exercise Set 7.6 - Page 474: 7

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(a) The exponential form of the logarithmic function, \[y={{\log }_{4}}x\] will be: \[\begin{align} & y={{\log }_{4}}x \\ & {{4}^{y}}=x \\ & x={{4}^{y}} \end{align}\] Therefore, the exponential form of the logarithmic function, \[y={{\log }_{4}}x\]is \[x={{4}^{y}}\].