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What is the value for the variable f in 173f−1=1
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Answered by
GPT-5 mini
I’m not sure how to read the equation — it could mean several different things. Here are the common interpretations and their solutions; tell me which matches the problem and I’ll proceed:
- If it means 173·f − 1 = 1, then 173f = 2 so f = 2/173.
- If it means 173^(f−1) = 1, then f−1 = 0 so f = 1.
- If it means 17^(3f−1) = 1, then 3f−1 = 0 so f = 1/3.
- If it means 173 / f − 1 = 1, then 173/f = 2 so f = 86.5.
- If it means the numeral "173" in base f minus 1 equals 1 (i.e. value(173_f) − 1 = 1), then f^2 + 7f + 3 − 1 = 1 ⇒ f^2 + 7f + 1 = 0 (no integer solution).
Which of these was the intended equation (or please paste the exact original)?
- If it means 173·f − 1 = 1, then 173f = 2 so f = 2/173.
- If it means 173^(f−1) = 1, then f−1 = 0 so f = 1.
- If it means 17^(3f−1) = 1, then 3f−1 = 0 so f = 1/3.
- If it means 173 / f − 1 = 1, then 173/f = 2 so f = 86.5.
- If it means the numeral "173" in base f minus 1 equals 1 (i.e. value(173_f) − 1 = 1), then f^2 + 7f + 3 − 1 = 1 ⇒ f^2 + 7f + 1 = 0 (no integer solution).
Which of these was the intended equation (or please paste the exact original)?
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