Solving a discrete logarithm problem returns a 0x1 sym or Unable to find explicit solution

syms x

solve(2 == (6^x) - (11 * ((6^x)/11)),x)

Returns:

ans =

Empty sym: 0-by-1

I tried using:

syms x

solve(2==mod((6^x),11),x)

but i recieve:

Warning: Unable to find explicit solution. For options, see help.

> In solve (line 317)

ans =

Empty sym: 0-by-1

I just want to solve:

[Alberto Giardino]

Same thing on R2021b

[Torsten]

Did you find an example that MATLAB's "solve" is able to solve congruences ?

Answer 1

[Torsten]

Brute force:

x = 0:24;
y = uint64(6.^x);
d = mod(y,11);
x = x(d==2)