If a^x = b^y = c^z and abc = 1, then let us show that xy + yz + zx = 0.

6

If a = xy^p–1, b = xy^q–1 and c = xy^r–1, then let us show that a^q–r b^r–p c^p–q = 1.

7

If and xyz = 1, then let us show that a + b + c = 0.

9

Let us solve:

49^x = 7³

9

Let us solve:

2^{x + 2} + 2^x–1 = 9