For what value of x does 3 raised to the 4 x power is equal to 27 raised to the x minus 3 power ?

Rewrite 27 as 3³, so the equation becomes 3⁴ˣ = 3³⁽ˣ⁻³⁾. Since the bases are equal, set the exponents equal: 4x = 3(x − 3), which gives 4x = 3x − 9 and x = −9. The correct choice is negative 9.

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