So we have
40 = ab8 and 8 = ab40
Using the first, we can solve for a = 40/b8 ........and substituting this into the second, we have
8 =(40/b8)b40
8 = 40b32 divide both sides by 8
(1/5) = .20 = b32 take the (positive) 32nd root of both sides
b = about .951
And substituting this into 40 = ab8 to find a, we have
40 = a(.951)8 divide both sides by (.951)8
a = 40 / (.951)8 = about 59.79
So....our function is
w(x) = 59.79(.951)x
\b
