Respuesta :

-5 add five to both sides then divide four by both sides also you wanna use exponent rules. Simplify. Subtract 3 from both sides divide both sides by -1 then you get x = -5

Answer:

A

Step-by-step explanation:

Given

4[tex](3-x)^{\frac{4}{3} }[/tex] - 5 = 59 ( add 5 to both sides )

4[tex](3-x)^{\frac{4}{3} }[/tex] = 64 ( divide both sides by 4 )

[tex](3-x)^{\frac{4}{3} }[/tex] = 16 ( cube both sides )

[tex](3-x)^{4}[/tex] = 16³ = 4096 ( take the fourth root of both sides )

3 - x = ± 8, thus

3 - x = 8 ( subtract 3 from both sides )

- x = 5 ( multiply both sides by - 1 )

x = - 5

OR

3 - x = - 8 ( subtract 3 from both sides )

- x = - 11 ( multiply both sides by - 1 )

x = 11

Thus x = - 5, 11 → A

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