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I find the linear form easier to use in general for solving for different variables and basically everything. The linear form is also what you use to graph: you graph lnA versus time and the slope of the line is -k. I can't think of a good use for the nonlinear equation.
The linear form is useful for graphical analysis and basic comprehension. It can also be useful for finding k, because its the slope of the line. Either work for simple calculation using the relationship between time and concentration of the reactant.
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