Can beta be an exponent within a function prior to taking the log of that function to arrive at a simple, log-linear estimation equation?
I am curious because I found an equation that had beta as an exponent on page 7 of this article by Lee Branstetter(2004): http://bit.ly/1OGSFx9 titled: Is Foreign Direct Investment a Channel of Knowledge Spillovers? Evidence from Japan’s FDI in the United States
I believe there this is not out-of-order. I am however, seeking an explanation to the equation.
I have tried to check different sources and the closest explanation is that the function is a linear-log function.