Is there a logarithm function through this three given points?
I've got the task to find a logarith
il2k3s2u7
Answered question
2022-05-26
Is there a logarithm function through this three given points?
I've got the task to find a logarithm function which contains the following points:
Now I need to find the logarithm function. My idea was to use and a system of equations:
I tried to solve for , and without success. Does someone have a hint for me?
Answer & Explanation
Found a way easier and more effective way (facepalm)
By subtracting equations, we find
This makes b the root of an degree polynomial:
Now that you have one variable (), it should be simple to solve the rest (that's not to say there will be nice ways to represent a and c)
So we obtain
Similarly, you may obtain
So we have
A Computer Algebra System will tell you . From there you can deduce b and c
Do you have a similar question?
Recalculate according to your conditions!