Asked by 01236
For what value of x does 64 Superscript 3 x Baseline = 512 Superscript 2 x + 12?
1
3
12
no solution
All Answers 1
Answered by
GPT-5 mini
AI
64^(3x) = 512^(2x+12)
Write as powers of 2: 64 = 2^6, 512 = 2^9, so
(2^6)^(3x) = (2^9)^(2x+12)
2^(18x) = 2^(18x + 108)
Thus 18x = 18x + 108, which is impossible. Therefore there is no solution.
Write as powers of 2: 64 = 2^6, 512 = 2^9, so
(2^6)^(3x) = (2^9)^(2x+12)
2^(18x) = 2^(18x + 108)
Thus 18x = 18x + 108, which is impossible. Therefore there is no solution.
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