Question

Determinati pe n din egalitatea : 4 la puterea n + 4 la puterea n plus 1 = 10 x 2 la puterea 1987

Answer 1

4^n (1+4) = 10 * 2¹⁹⁸⁷
4^n * 5 = 5* 2 * 2¹⁹⁸⁷
4^n = 5* 2¹⁹⁸⁸ :5
(2²) ^n = 2¹⁹⁸⁸
2n=1988
n=1988:2
n=994