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(usually with 'to') Obligated to provide, display, or do something for another; indebted, obliged. quotations examples
But musical ancestry aside, the influence to which [Justin] Bieber is most beholden is the current trends in pop music, which means Believe is loaded up with EDM accouterments, seeking a comfortable middle ground where Bieber’s impressively refined pop-R&B croon can rub up on techno blasts and garish dubstep drops (and occasionally grind on some AutoTune, not necessarily because it needs it, but because a certain amount of robo-voice is expected these days).
2012 June 26, Genevieve Koski, “Music: Reviews: Justin Bieber: Believe”, in The A.V. Club, archived from the original on 6 August 2020
There is much to dislike about the proposed constitution, which will keep elected governments beholden to a senate nominated by the junta and to a suite of meddling committees.
2017 January 14, “Thailand's new king rejects the army's proposed constitution”, in The Economist