Question 393198
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If a function contains a point *[tex \Large (x_1,y_1)] then *[tex \Large f(x_1)\ =\ y_1]


Given


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ f(x)\ =\ a\,\cdot\,2^x]


And the point *[tex \Large (3,24)], we know that


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ f(3)\ =\ a\,\cdot\,2^3\ =\ 24]


But since we know that *[tex \Large 2^3\ =\ 8] we can write:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 8a\ =\ 24]


Just solve for *[tex \Large a]


John
*[tex \LARGE e^{i\pi} + 1 = 0]
My calculator said it, I believe it, that settles it
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