Solve $3^x+x^3=17.$

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It's a question I find a bit difficult to solve, and the question is:

$$3^x+x^3=17.$$

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17 can be split into 9 and 8. To get 8, 2 to the power of 3 is 8. To get 9, do 3 squared. 8+9=17. So x is 2.