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27 * 9^3x can be written in the form 3k where k is an expression in terms of x. Find k.

User Ogaga Uzoh
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27\cdot 9^(3x)\implies 3^3\cdot (3^2)^(3x)\implies 3^3\cdot (3)^(2(3x)) \\\\\\ 3^3\cdot 3^(6x)\implies 3^(3+6x)~~ = ~~3^k\hspace{5em}\boxed{3+6x=k}

User ClareBear
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