4. Solving Exponential Equations
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The events will have the same attendance whenever the functions intersect.
Notice that we are given the equations for the functions.
Approximately in year 2007
We will substitute x=3 into the equations and see if they are equal. See the solution for the process.
We can see that the functions will intersect around x=3. Note that year 0 corresponds with 2004. This tells us that x=3 is really the year 2007, so in approximately 2007 the attendances should be equal.
x= 3
.LHS /4000.=.RHS /4000.
Calculate power
Multiply
We can see that while x=3 is not the exact answer, it is certainly a very close approximation.