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In this paper, we prove two conjectures of Ulas ([21]) on two Diophantine equations of Ramanujan-Nagell type. In fact, we show that the following equations  x2+(2m+1+1)2n=24(m+1)+23(m+1)+22m+2m+1+1,  x2+(22m+6-1)2n/3 = (49 · 42m+5-11· 4m+3+1)/9  have exactly four solutions

On two Diophantine equations of Ramanujan-Nagell type