Question Regarding Logarithm

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Sir I have an Equation $X^9 - X^3 = 24$. I solved it using Algebra, and the answer is $X = 1.44$ OR $\sqrt[3]{3}$. This is an Exponential Equation. Can this Equation be Solved using Logarithm ? If yes, then can you show me the steps, Hint, Clue ?