Question 131494
 have a TI-83 and I want to know how to graph a Logarithmic spiral with the geometric progression of 1.4.
I believe the equation is:
r = ae^(b[theta])
In fact I want to know how this spiral can be graphed by hand...
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Your equation is an exponential equaation.
It is either an increasing function (b>1) or a decreasing
function (0 < b < 1)
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You will not get a spiral graph out of it because the 
TI-83 uses the Real Number line as its domain.
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If you want theta to run from 0 to 2pi and then 0 to 2pi 
repeatedly you would have to plot your points  and see
how the curve is affected.
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Also, keep in mind, the TI can only plot functions.  If
there are two or more y values associated with any x-value
the TI cannot graph it.
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Cheers,
Stan H.