x 3 = 34 3 − 1 x 3 = ( 7 3 ) − 1 x 3 = 7 − 3 x 3 = ( 7 1 ) 3 ⟺ x = 7 1
The positive value of x that satisfies the equation x 3 = 34 3 − 1 is x = 7 1 . This result comes from rewriting 343 as 7 3 and applying the rules of exponents. The final answer is obtained by taking the cube root of both sides of the equation.
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