Chapter 17, Problem 10P

Rather than using the base-e exponential model (Eq. 17.22), a common alternative is to use a base-10 model,

$y={\alpha }_5{10}^{{\beta }_{5}x}$

When used for curve fitting, this equation yields identical results to the base-e version, but the value of the exponent parameter $\left({\beta }_5\right)$ will differ from that estimated with Eq. 17.22 $\left({\beta }_1\right)$.Use the base-10 version to solve Prob. 17.9. In addition, develop a formulation to relate ${\beta }_1$ to ${\beta }_5$.