Question 185120
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*[tex \LARGE \ \ \ \ \ \ \ \ \ \  y=50,000e^{0.8x}]


Substituting 30 for <i>x</i> makes the exponent 0.8 times 30 = 24, so:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \  y=50,000e^{24}]


<i>e</i> is the base of the natural logarithms, approximately 2.718.


So, unless you are some sort of arithmetic masochist, and want to multiply 2.718 times itself 24 times, it is time to get out the calculator.


Using the Windows built-in calculator in Scientific mode, enter 24, click the Inv check box in the upper left corner, then click the 'ln' button (<i>e</i> raised to a power is the inverse of taking the natural logarithm, ln).  Then click '*', enter 50000, and click '='.


If you have Excel on your computer, open a sheet and enter the following in a cell:

=50000*exp(24)

Then press enter.


John
*[tex \LARGE e^{i\pi} + 1 = 0]
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