What value of x makes (2x+17)^1/3=3 a true statement?

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What value of x makes (2x+17)^1/3=3 a true statement?

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Answer 1 · 2018-04-07T01:47:51

$x = 5$ $x=5$

Explanation:

${(2 x + 17)}^{\frac{1}{3}} = 3$ $(2x+17)^(1/3)=3$

$2 x + 17 = 3^{3}$ $2x+17=3^3$

$2 x + 17 = 27$ $2x+17=27$

$2 x = 10$ $2x=10$ , so $x = 5$ $x=5$

Answer 2 · 2018-04-07T01:51:31

$x = 5$ $x = 5$ .

Explanation:

We are given that ${(2 x + 17)}^{\frac{1}{3}} = 3$ $(2x + 17)^(1/3) = 3$ . We cube both sides of the equation:

${(2 x + 17)}^{\frac{1}{3}} = 3$ $(2x + 17)^(1/3) = 3$ ,
${({(2 x + 17)}^{\frac{1}{3}})}^{3} = 3^{3}$ $((2x+17)^(1/3))^(3) = 3^3$ ,
$2 x + 17 = 27$ $2x + 17 = 27$ .

Now we solve for $x$ $x$ .

$2 x + 17 = 27$ $2x + 17 = 27$ ,
$2 x = 10$ $2x = 10$ ,
$x = 5$ $x = 5$ .

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What value of x makes (2x+17)^1/3=3 a true statement?

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