NEW YORK, Sept 22 (Reuters) - U.S. soybean futures firmed on Friday in a light technical rebound from one-month lows, while wheat firmed and corn was narrowly mixed as the markets consolidated after declines this week linked to tepid U.S. exports and a rising dollar.

As of 11:46 a.m. CDT (1646 GMT), Chicago Board of Trade (CBOT) November soybeans were up 4 cents at $12.97-3/4 a bushel, bouncing after a dip to $12.92-1/2, the contract's lowest since Aug. 8.

CBOT December wheat was up 2-3/4 cents at $5.78-1/2, climbing after early weakness. The contract stayed above a near three-year low set Sept. 12 at $5.70.

December corn was up 1 cent at $4.76-1/4 a bushel, holding above this week's low of $4.67-3/4, the lowest on a continuous chart of the most-active contract since December 2020.

A firm dollar hung over the markets at a time when U.S. grains are already struggling to compete in the global export market with wheat supplies from Russia and Brazilian corn and soybeans.

"The biggest problem we have right now is demand for American products," said Jim McCormack, a managing partner at AgMarket.net in Barrington, Ill.

"We're just not priced competitively - Russia on the wheat, South America on the corn and beans. The dollar has something to do with it as well," McCormack said.

The dollar index held at a six-month high, lifted by a U.S. Federal Reserve warning that interest rates would remain higher for longer than expected.

However, drought in Argentina and Australia could tighten world wheat supplies later in the season, while war in Ukraine remained a risk to Black Sea trade.

The first big ship carrying grain from a Ukrainian Black Sea port has set sail since Moscow quit a deal in July allowing maritime exports, a Ukrainian deputy prime minister said on Friday.

Freshly harvested U.S. corn and soybeans were adding to ample South American supplies, though doubts lingered over U.S. yield potential and farmers in Brazil are facing dry planting conditions. (Reporting by Zachary Goelman in New York City. Additional reporting by Gus Trompiz in Paris, Naveen Thukral in Singapore and Peter Hobson in Canberra; Editing by Alistair Bell)