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#.