Question

given that y=Ax^b, find the values of A and b.

I have a line lny=-0.5(lnx)+6.8

Answer 1

\[\ln y=-0.5(\ln x)+6.8\]
\[\ln y + \ln \sqrt{x} = 6.8\]
\[\ln \left[ y \sqrt{x}\right] = 6.8\]
\[y \sqrt{x} = e^{6.8}\]
\[y = e^{6.8} \times x^{-\frac{1}{2}}\]
\[A = e^{6.8}, B=-\frac{1}{2}\]

Answer 2

thank you!