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## Main Question or Discussion Point

How do you prove the following?

[tex]7^{\sqrt{5}} > 5^{\sqrt{7}}[/tex]

Without calculators or working out [tex]{\sqrt{5}}[/tex], [tex]{\sqrt{7}}[/tex], of course.

[tex]7^{\sqrt{5}} > 5^{\sqrt{7}}[/tex]

Without calculators or working out [tex]{\sqrt{5}}[/tex], [tex]{\sqrt{7}}[/tex], of course.