An Interesting Equation of Powers

[wesleydeng]

For the 1st part consider mod 6. Since 4^a==4(mod 6) if a>0, one gets a=c=0 right away.

[mcwulf]

The trivial solution is so often the only solution!

[sadeekmuhammadryan]

The results you derive are most often useful. I want to master this trick.

[yoav]

Nice.i do not think there is more simple solution than this.

[ankit..]

if x[x[x[x]]]=88 then x=a/b where gcd(a, b)=1 find a+b ([•] represents greatest integer function)...TRY THIS

[alexandercenteno]

Find the sum of the N terms that satisfy that 1^3 + 2^3 + ... + n^3 divided by n+5 gives as residue 17 help please

[bryanchaler]

What branch of math is this? I stopped math at de.

[willbishop]

Another one where the only solution is the trivial one. Kind of boring.