Find the positive solution of the equation. 4x^((4)/(3))+22=1046 Answer:

Subtract 22: Subtract 22 from both sides of the equation to isolate the term with the variable x. 4x^(4/3) + 22 - 22 = 1046 - 22 4x^(4/3) = 1024Divide by 4: Divide both sides of the equation by 4 to solve for x^(4/3). (4x^(4/3)) / 4 = 1024 / 4 x^(4/3) = 256Recognize power of 2: Recognize that 256 is a power of 2. Specifically, 256 = 2^8. x^(4/3) = 2^8Take cube root: To solve for x, we need to take the cube root of both sides and then raise them to the power of 3 to get rid of the exponent (4/3). (x^(4/3))^(3/4) = (2^8)^(3/4) x = 2^(8*(3/4)) x = 2^6Calculate value: Calculate 2^6 to find the value of x. 2^6 = 64 x = 64

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Find the positive solution of the equation.

4x^((4)/(3))+22=1046
Answer:

Find the positive solution of the equation. $\newline$ $4 x^{\frac{4}{3}}+22=1046$ $\newline$ Answer:

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Q. Find the positive solution of the equation.

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4 x^{\frac{4}{3}}+22=1046

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Answer:

Subtract $22$ : Subtract $22$ from both sides of the equation to isolate the term with the variable $x$ . $\newline$ $4x^{(4/3)} + 22 - 22 = 1046 - 22$ $\newline$ $4x^{(4/3)} = 1024$
Divide by $4$ : Divide both sides of the equation by $4$ to solve for $x^{\frac{4}{3}}$ . $\frac{4x^{\frac{4}{3}}}{4} = \frac{1024}{4}$ $x^{\frac{4}{3}} = 256$
Recognize power of $2$ : Recognize that $256$ is a power of $2$ . Specifically, $256 = 2^8$ . $\newline$ $x^{\frac{4}{3}} = 2^8$
Take cube root: To solve for $x$ , we need to take the cube root of both sides and then raise them to the power of $3$ to get rid of the exponent $(4/3)$ .
$(x^{(4/3)})^{(3/4)} = (2^8)^{(3/4)}$
$x = 2^{(8*(3/4))}$
$x = 2^6$
Calculate value: Calculate $2^6$ to find the value of $x$ . $\newline$ $2^6 = 64$ $\newline$ $x = 64$