Respuesta :

Answer:

1/10

Step-by-step explanation:

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Answer:

[tex] x = \dfrac{1}{10} [/tex]

Step-by-step explanation:

[tex] 4^{\frac{3}{4}} \times 2^x = 16^{\frac{2}{5}} [/tex]

[tex] (2^2)^{\frac{3}{4}} \times 2^x = (2^4)^{\frac{2}{5}} [/tex]

[tex] 2^{2 \times \frac{3}{4}} \times 2^x = 2^{4 \times \frac{2}{5}} [/tex]

[tex] 2^{\frac{3}{2}} \times 2^x = 2^{\frac{8}{5}} [/tex]

[tex] 2^{\frac{3}{2} + x} = 2^{\frac{8}{5}} [/tex]

[tex] x + \dfrac{3}{2} = \dfrac{8}{5} [/tex]

[tex] 10x + 15 = 16 [/tex]

[tex] 10x = 1 [/tex]

[tex] x = \dfrac{1}{10} [/tex]

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