Final answer:
President Roosevelt uses the mode of persuasion known as logos in his appeal to authorize the exclusion and restriction of people in military areas for national security reasons.
Step-by-step explanation:
President Roosevelt uses the mode of persuasion known as logos, which is an appeal to the audience's sense of logic. In the excerpt from Executive Order No. 9066, Roosevelt authorizes and directs the Secretary of War to prescribe military areas and impose restrictions on people's rights to enter, remain in, or leave those areas. This appeal is based on the logical necessity of taking action during times of war to ensure national security.
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