SOLUTION: Given that y = ax^b and that y = 5 when x = 2 and y = 29 when x = 4, find the value of a and of b. :) =)

Question 397798: Given that y = ax^b and that y = 5 when x = 2 and y = 29 when x = 4, find the value of a and of b.
:) =)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Given that y = ax^b and that y = 5
when x = 2 and y = 29 when x = 4,
find the value of a and of b.
-------------
Two Equations:
29 = a*4^b
5 = a*2^b
--------------
divide to get
29/5 = (2^(2b))/(2^b)
---
29/5 = 2^b
b(log2) = log(29/5)
b = 0.7634/0.3010
---
b = 2.5362
----
Solve for "a":
5 = a*2^2.5362
5 = a*5.80
a = 0.862
====
Cheers,
Stan H.
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