Question 1000525
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If (0,4) is a point on the graph of *[tex \Large f(x)\ =\ ca^x] then *[tex \Large f(0)\ =\ 4] or *[tex \Large ca^0\ =\ 4].  Since any number to the zero power is 1, we know that *[tex \Large c\ =\ 4].


If (4,324) is a point on the graph of *[tex \Large f(x)\ =\ ca^x], then *[tex \Large f(4)\ =\ 324] or *[tex \Large ca^4\ =\ 324].  But we know that *[tex \Large c\ =\ 4], so *[tex \Large 4a^4\ =\ 324], which is to say *[tex \Large a^4\ = 81].


All you need now is to find the value of *[tex \Large a] which is the 4th root of 81.


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

*[tex \Large \ \
*[tex \LARGE \ \ \ \ \ \ \ \ \ \