using today's values based on OP's formula the bit coin price should be:
10^(-2.869800 + 0.003012 * ((number of days since 2009 Jan 03)/days)) =
$26,439
10^(-2.869800 + 0.003012 * ((number of days since 2009 Jan 03)/days)) =
$26,439
The coefficients -2.8698 and 0.003012 are dynamic and recalculated daily from past price data.
So it's more like $5,000 now - which still IS somewhat higher than the actual price
