Find the positive solution of the equation. 4x^((4)/(3))-12=26232 Answer:

Add 12 to isolate: Add 12 to both sides of the equation to isolate the term with the variable. $4x^{\frac{4}{3}} - 12 + 12 = 26232 + 12$ $4x^{\frac{4}{3}} = 26244$Divide by 4: Divide both sides of the equation by 4 to solve for $x^{\frac{4}{3}}$. $\frac{4x^{\frac{4}{3}}}{4} = \frac{26244}{4}$ $x^{\frac{4}{3}} = 6561$Take cube root: Take the cube root of both sides to solve for $x^{\frac{4}{3}}$. $(x^{\frac{4}{3}})^{\frac{3}{4}} = 6561^{\frac{3}{4}}$ $x = 6561^{\frac{3}{4}}$Calculate value: Calculate the value of $6561^{\frac{3}{4}}$. Since $6561 = 81^2$ and $81 = 3^4$, we can rewrite $6561^{\frac{3}{4}}$ as $(3^4)^{\frac{3}{4}}$. $x = (3^4)^{\frac{3}{4}}$ $x = 3^{4 \cdot \frac{3}{4}}$ $x = 3^3$ $x = 27$

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Find the positive solution of the equation.

4x^((4)/(3))-12=26232
Answer:

Find the positive solution of the equation. $\newline$ $4 x^{\frac{4}{3}}-12=26232$ $\newline$ Answer:

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Algebra 2

Composition of linear and quadratic functions: find a value

Full solution

Q. Find the positive solution of the equation.

\newline

4 x^{\frac{4}{3}}-12=26232

\newline

Answer:

Add $12$ to isolate: Add $12$ to both sides of the equation to isolate the term with the variable. $\newline$ $4x^{\frac{4}{3}} - 12 + 12 = 26232 + 12$ $\newline$ $4x^{\frac{4}{3}} = 26244$
Divide by $4$ : Divide both sides of the equation by $4$ to solve for $x^{\frac{4}{3}}$ . $\newline$ $\frac{4x^{\frac{4}{3}}}{4} = \frac{26244}{4}$ $\newline$ $x^{\frac{4}{3}} = 6561$
Take cube root: Take the cube root of both sides to solve for $x^{\frac{4}{3}}$ . $\newline$ $(x^{\frac{4}{3}})^{\frac{3}{4}} = 6561^{\frac{3}{4}}$ $\newline$ $x = 6561^{\frac{3}{4}}$
Calculate value: Calculate the value of $6561^{\frac{3}{4}}$ . $\newline$ Since $6561 = 81^2$ and $81 = 3^4$ , we can rewrite $6561^{\frac{3}{4}}$ as $(3^4)^{\frac{3}{4}}$ . $\newline$ $x = (3^4)^{\frac{3}{4}}$ $\newline$ $x = 3^{4 \cdot \frac{3}{4}}$ $\newline$ $x = 3^3$ $\newline$ $x = 27$