Exponential equation problems

Question

How should I solve the following equation:

$2_{}^{2x}-2{}^{2x+1}=3$

No solution is the real domain but solutions in the complex domain. — Claude Leibovici, Aug 20 '17 at 15:26

score 1 · Answer 1 · answered Aug 20 '17 at 15:20

1

I think we have $-2^{2x}=3$, which is impossible in real numbers.

answered Aug 20 '17 at 15:20

Michael Rozenberg

score 1 · Answer 2 · answered Aug 20 '17 at 15:21

1

but $$2^{2x}-2^{2x+1}=2^{2x}-2\cdot 2^{2x}=-2^{2x}<0$$ therefore no Solutions.

answered Aug 20 '17 at 15:21

2 Answers2