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We have to find x given that 28^(4x-6)=1/784

28^(4x-6)=1/784

=> 28^(4x-6)=1/28^2

=> 28^(4x-6)=28^(-2)

As the base is the same, we equate the exponent

=> 4x - 6 = -2

=> 4x = 4

=> x = 1

Therefore x = 1

Approved by eNotes Editorial Team

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