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help need your input (1 Viewer)

spice

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just want to see how people approach a question like this:

1716975762229.png

where A and B are unknown pronumerals and e is Euler's number

if you are given 2 random data points like say (4,782) and (14, 980)

(yes these numbers are similar to what we got, one number barely 20 and the other pushing the thousands and it makes solving this very annoying)

how would you solve for A and B?
ik it seems very simple but if i do simultaneous then id have to take e x a to the power of a number in the hundreds almost thousands and that would result in either a math error in the calc or if i found a crazy calculator online it would be so messy and would take literally like weeks to solve.

interested to see how you approach this, is there any other way? perhaps one less messy and seems more right if you know what im saying?
 

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