How Do You Solve Discrete Logarithm Problems for Different Bases and Primes?

bmorgan
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How to solve log10000000 base is 10.
 
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bmorgan said:
How to solve log22 for the prime p = 47, base is 10. I can convert this to 10^x = 22(mod 47). How to solve this problem?
Hello bmorgan. Welcome to PF !

It would help us answer your question for you to give the problem as it was given to you. It's very hard to tell what's being asked when you give us only pieces.

Also, according to the rules of this Forum, you need to show some effort towards solving the problem before we can respond. Let us know what you know and where you're stuck.
 
Hi, thanks for replying. After i convert the original equation, what is next step?
 
bmorgan said:
How to solve log22 for the prime p = 47, base is 10.
...
There's virtually no way to respond to this .

What is the question you were given ... WORD for WORD ?
 

Thread 'Prove that the integral is equal to ##\pi^2/8##'

Prove $$\int\limits_0^{\sqrt2/4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx = \frac{\pi^2}{8}.$$ Let $$I = \int\limits_0^{\sqrt 2 / 4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx. \tag{1}$$ The representation integral of ##\arcsin## is $$\arcsin u = \int\limits_{0}^{1} \frac{\mathrm dt}{\sqrt{1-t^2}}, \qquad 0 \leqslant u \leqslant 1.$$ Plugging identity above into ##(1)## with ##u...
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