Q8.) The exponential is one of the most important and commonly occurring functions in all of...

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Q8.) The exponential is one of the most important and commonly occurring functions in all of science. The "semi-log" plot (taking the natural log of one axis*) is an extremely important tool because it allows us to extract information about the exponential (e.g. its time constant) by recasting it in a linear form. This is why it is important to understand how this trickery works. Please fill in the steps to get between: V = Vo e-t/RC In V = In Vo - (from Figure 3) (eqn 5) t RC Hints: Recall the following properties of natural logs: In(ab) = In (a) + In(b) and also that the natural log and the exponential are inverse functions (that is, In(ex) = x). *Not to be confused with the also very common "log-log" plot (where both axes are logged). Q8.) The exponential is one of the most important and commonly occurring functions in all of science. The "semi-log" plot (taking the natural log of one axis*) is an extremely important tool because it allows us to extract information about the exponential (e.g. its time constant) by recasting it in a linear form. This is why it is important to understand how this trickery works. Please fill in the steps to get between: V = Vo e-t/RC In V = In Vo - (from Figure 3) (eqn 5) t RC Hints: Recall the following properties of natural logs: In(ab) = In (a) + In(b) and also that the natural log and the exponential are inverse functions (that is, In(ex) = x). *Not to be confused with the also very common "log-log" plot (where both axes are logged).