Find the positive solution of the equation. 2x^((6)/(7))+28=156 Answer:

Isolate x term: First, we need to isolate the term with the variable x on one side of the equation. To do this, we subtract 28 from both sides of the equation. 2x^(6/7) + 28 - 28 = 156 - 28Simplify right side: Now we simplify the right side of the equation by performing the subtraction. 2x^(6/7) = 156 - 28 2x^(6/7) = 128Divide by 2: Next, we divide both sides of the equation by 2 to solve for x^(6/7). (2x^(6/7)) / 2 = 128 / 2 x^(6/7) = 64Recognize power of 2: We recognize that 64 is a power of 2. Specifically, 64 is 2 raised to the 6th power (2^6). This will help us solve for x. x^(6/7) = 2^6Raise to reciprocal: To solve for x, we need to raise both sides of the equation to the reciprocal of the fraction (6/7), which is (7/6). (x^(6/7))^(7/6) = (2^6)^(7/6)Multiply exponents: When we raise a power to a power, we multiply the exponents. In this case, (6/7) * (7/6) = 1, so the left side simplifies to x. On the right side, we multiply the exponents: 6 * (7/6) = 7. x = 2^7Calculate value: Now we calculate 2^7 to find the value of x. 2^7 = 128

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Find the positive solution of the equation.

2x^((6)/(7))+28=156
Answer:

Find the positive solution of the equation. $\newline$ $2 x^{\frac{6}{7}}+28=156$ $\newline$ Answer:

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Q. Find the positive solution of the equation.

\newline

2 x^{\frac{6}{7}}+28=156

\newline

Answer:

Isolate x term: First, we need to isolate the term with the variable $x$ on one side of the equation. To do this, we subtract $28$ from both sides of the equation. $\newline$ $2x^{(6/7)} + 28 - 28 = 156 - 28$
Simplify right side: Now we simplify the right side of the equation by performing the subtraction. $\newline$ $2x^{\frac{6}{7}} = 156 - 28$ $\newline$ $2x^{\frac{6}{7}} = 128$
Divide by $2$ : Next, we divide both sides of the equation by $2$ to solve for $x^{\frac{6}{7}}$ . $\newline$ $\frac{2x^{\frac{6}{7}}}{2} = \frac{128}{2}$ $\newline$ $x^{\frac{6}{7}} = 64$
Recognize power of $2$ : We recognize that $64$ is a power of $2$ . Specifically, $64$ is $2$ raised to the $6$ th power ( $2^6$ ). This will help us solve for $x$ . $\newline$ $x^{\frac{6}{7}} = 2^6$
Raise to reciprocal: To solve for $x$ , we need to raise both sides of the equation to the reciprocal of the fraction $\frac{6}{7}$ , which is $\frac{7}{6}$ . $(x^{\frac{6}{7}})^{\frac{7}{6}} = (2^6)^{\frac{7}{6}}$
Multiply exponents: When we raise a power to a power, we multiply the exponents. In this case, $(\frac{6}{7}) \times (\frac{7}{6}) = 1$ , so the left side simplifies to $x$ . On the right side, we multiply the exponents: $6 \times (\frac{7}{6}) = 7$ . $x = 2^7$
Calculate value: Now we calculate $2^7$ to find the value of $x$ . $\newline$ $2^7 = 128$