Let $$m^5=7\quad (\operatorname{mod} 7769)$$ and $$m^7=252\quad(\operatorname{mod} 7769)$$
How can I find $m$?
2026-04-25 07:06:45.1777100805
If I have two modular exponentiation equations, can I find the base?
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$m = m^{\large 21} m^{\large -20}\! = (m^{\large 7})^{\large 3} (m^{\large 5})^{\large -4}\! = 252^{\large 3}\, 7^{\large -4} = 36^{\large 3} 7^{\large 3} 7^{\large -4} = 42\cdot 7^{\large -1} = 6$