Respuesta :

Solution

Step 1

[tex]6^{-2x}\text{ = 6}^{2-3x}[/tex]

Step 2

Since the bases are equal, equate the exponent.

[tex]\begin{gathered} -2x\text{ = 2 - 3x} \\ \\ -2x\text{ + 3x = 2} \\ \\ x\text{ = 2} \end{gathered}[/tex]

Final answer

x = 2

Option D

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