Answer :

Answer:

x = -2

Step-by-step explanation:

[tex] {3}^{ - 2x} = 81[/tex]

[tex] {3}^{ - 2x} = {3}^{4} [/tex]

Compare the two exponentials, since the bases are equal then their powers are equal.

-2x = 4 Divide both sides by -2

x = 4/-2

x = -2

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