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

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Answer 1 · 2018-04-07T01:47:51

$x=5$

$(2x+17)^(1/3)=3$

$2x+17=3^3$

$2x+17=27$

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

Answer 2 · 2018-04-07T01:51:31

$x = 5$ .

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

$(2x + 17)^(1/3) = 3$ ,
$((2x+17)^(1/3))^(3) = 3^3$ ,
$2x + 17 = 27$ .

Now we solve for $x$ .

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