I am doing a math project and I was wondering how I should approach finding the coefficients of these three exponential functions. I thought of solving them simultaneously, but I didn't think it would work.
$ab^{2c} = 3674140 $
$ab^{3c} = 4.325200327*10^{19} $
$ab^{4c} = 7.40119684×10^{45} $
I am having trouble because I know there isn't a formula that goes through all the points, but relatively follows the path of them. Please let me know what method I should use to find the coefficients a, b, and c.
Denoting the right-hand sides by $A,B,C$ then we get with $$A=\frac{A}{b^{2c}}$$ $$b^c=\frac{B}{A}$$ and $$b^{2c}=\frac{B}{A}$$ Can you finish? So $$b^c=b^{2c}$$