With Betis without a win in six games, Gerardo Leon's side were eager to end their poor run against the fellow strugglers and Guehai got them off to a fine start with the opener after just two minutes.
On their return from recess, the visitors consolidated on their narrow first-half lead when Julie Tavlo-Petersson doubled the advantage, with her fine finish within just four minutes into the second stanza.
In the 82nd minute, Boho extended the visitors lead from the spot before they were reduced to 10-players following the sending off of their goalkeeper Pamela Tajonar three minutes later.
Real Betis, however, secured a consolation on the brink of full time when Rosa Marquez set up Aixa Garcia to score but could not deny Logrono's first win of the season at Polideportivo Felipe del Valle.