Final answer:
In August 1862, Abraham Lincoln appealed to African-American leaders by recognizing their contributions and extending voting rights to some black men, including Union Army veterans.
Step-by-step explanation:
In August 1862, Abraham Lincoln's appeal to African-American leaders was centered around his evolving stance on slavery and emancipation. While Lincoln had initially considered colonization or the gradual emancipation of enslaved people, he began to recognize the importance of African-Americans in shifting the meaning of the Civil War to one about emancipation, freedom, and citizenship.
By extending voting rights to some black men, including Union Army veterans, and abandoning his proposal for colonization, Lincoln appealed to African-American leaders by acknowledging their contributions and recognizing their rights as citizens.