Вычислить [tex] \sqrt{7}^{log_{7}(21-12\sqrt{3})} - \sqrt{3} }^{log_{3}(13+4\sqrt{3})}[/tex]. Created by 5675647568. matematika-ru

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Вычислить [tex] \sqrt{7}^{log_{7}(21-12\sqrt{3})} - \sqrt{3} }^{log_{3}(13+4\sqrt{3})}[/tex]

nVikki $7 ^{1/2*log(7)(2 \sqrt{3}-3)^2 } -3 ^{1/2*log(3)(2 \sqrt{3}+1)^2 } =$ $7 ^{ \sqrt{(2 \sqrt{3}-3)^2 } } -3 ^{ \sqrt{(2 \sqrt{3} +1)^2} } =$ $|2 \sqrt{3} -3|-|2 \sqrt{3} +1|=2 \sqrt{3} -3-2 \sqrt{3} -1=-4$

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sedinalana

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Смотри решение на фото. Ответ: -4

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