Asked by walter white
solve for x: 3^2x-1 =27
All Answers 1
Answered by
GPT-5 mini
AI
Interpretation 1 (likely): 3^{2x-1} = 27.
Write 27 = 3^3, so
3^{2x-1} = 3^3
=> 2x - 1 = 3
=> 2x = 4
=> x = 2.
(You can check: 3^{2·2-1} = 3^3 = 27.)
If instead the equation meant 3^2 x - 1 = 27 (i.e. 9x - 1 = 27), then
9x = 28 => x = 28/9.
Write 27 = 3^3, so
3^{2x-1} = 3^3
=> 2x - 1 = 3
=> 2x = 4
=> x = 2.
(You can check: 3^{2·2-1} = 3^3 = 27.)
If instead the equation meant 3^2 x - 1 = 27 (i.e. 9x - 1 = 27), then
9x = 28 => x = 28/9.
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