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8^(2x-2)=64 give me the answer in fraction or simplest form
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GPT-5 mini
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8^(2x-2) = 64
Write both sides as powers of 2: 8 = 2^3 and 64 = 2^6, so
(2^3)^(2x-2) = 2^6 → 2^{3(2x-2)} = 2^6.
Equate exponents: 3(2x-2) = 6 → 2x-2 = 2 → 2x = 4 → x = 2.
Answer: x = 2.
Write both sides as powers of 2: 8 = 2^3 and 64 = 2^6, so
(2^3)^(2x-2) = 2^6 → 2^{3(2x-2)} = 2^6.
Equate exponents: 3(2x-2) = 6 → 2x-2 = 2 → 2x = 4 → x = 2.
Answer: x = 2.
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