# $5^x \equiv 1520 \pmod {9797}$ [duplicate]

How do you solve this? What does mod mean and how will I solve it? I understand that it can be solved but how? 5 to some exponent equals the (mod of 9797) what is the answer to this?

• one solution is $$x=26$$ – Dr. Sonnhard Graubner May 7 '15 at 18:58
• "mod" means you need to find $x$ so that $5^x-1520$ is divisible by $9797$ – Gregory Grant May 7 '15 at 18:58
• $\equiv$ is not an equal sign. $\pmod{9797}$ belongs to that and together they mean that the two ides of the $\equiv$ have the same remainder on division by $9797$. – Henrik supports the community May 7 '15 at 18:59
• Can u solve this equation and tell me what's the anwser – Angel May 7 '15 at 19:04
• What background can you use to solve it? What is the name of the class? – Gregory Grant May 7 '15 at 19:04