The discussion revolves around solving for the exponent \( b \) in the function \( f(x) = a \cdot x^b \) using given function values at specific points. The original poster expresses uncertainty about how to set up the equations based on the provided values \( f(1.5) = 10 \) and \( f(1.7) = 14 \).
The discussion is active, with participants exploring different interpretations of how to approach the problem. Guidance has been provided regarding setting up equations based on the function values, and there is acknowledgment of the algebraic steps involved.
Participants are working within the constraints of needing to solve for two unknowns with two equations, and there is an underlying uncertainty about the correct method to apply.
bocobuff said:Homework Statement
i need to solve for b in f(x)=a*xb
i know f(1.5)=10 and f(1.7)=14
it's been forever since i did calc like this and i am blank on what to do.
i can't remember if or how i can set them equal to each other to solve for b.
i know i have 2 eqns and 2 unknowns.
do i set f(1.5)=f(1.7)? i don't think that's right but i can't think of what else to do??