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ololo11 [35]
4 years ago
7

Solve: (1/8)^-3a=512

Mathematics
1 answer:
Flura [38]4 years ago
8 0

Answer:

  a = 1

Step-by-step explanation:

The problem is written as a linear equation:

  ((1/8)^-3)a = 512

  512a = 512 . . . . simplify

  a = 1 . . . . . . . . . divide by the coefficient of a

___

We suspect you might intend the exponential equation:

  (1/8)^(-3a) = 512

  512^a = 512 . . . . . simplify

  a = 1 . . . . . . . . . . . compare bases and exponents

equivalently, take the log to the base 512:

  a·1 = 1

  a = 1

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