The closest international airport, Oslo International Airport (OSL), is located 22 miles (35 km) northeast of the Scandic Holmenkollen Park Hotel in Oslo.
The average taxi fare from the airport to Scandic Holmenkollen Park Hotel is approximately 800 NOK before gratuity, and the trip takes around 50 minutes.
From the airport you can take the airport train (Flytoget) to Nationaltheateret station - this takes around 25 minutes and costs around 210 NOK. Alternatively you can take a local train, which will be a little cheaper, but will take a little longer.
At Nationaltheateret station you can switch to the underground train (T-bane): take line #1 (Frognerseteren train) to Holmenkollen station and then all that remains is a brisk 700 m walk up to the hotel.
Alternatively, a taxi from Nationaltheateret station will cost you around 250-350 NOK.