This log-linear equation is in the same form as the previous linear trend equation and can be detrended in the same way, giving the estimated ( \ ln U ) _ t as the detrended value of ( \ ln \ text { GDP } ) _ t, and hence the implied U _ t as the detrended value of \ text { GDP } _ t, assuming one can reject the hypothesis that ( \ ln U ) _ t is non-stationary.
