Алгебра, 11 класс. Показательные неравенства и уравнения.
(5/4)^x*(16/5)^x=2*sqrt2
((5/4)*(16/5))^x=2^(3/2)
4^x=2^(3/2)
2^2x=2^(3/2)
2x=3/2
x=3/4
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(5/4)^x*(16/5)^x=2*sqrt2
((5/4)*(16/5))^x=2^(3/2)
4^x=2^(3/2)
2^2x=2^(3/2)
2x=3/2
x=3/4