Помогите решить с 1 по 6 срочно нужно!!!. Created by Daniil2263. algebra-ru

Помогите решить с 1 по 6 срочно нужно!!!...

miron2077

Verified answer

1
${3}^{2x + 1} = 729 \\ {3}^{2x + 1} = {3}^{6} \\ 2x + 1 = 6 \\ x = \frac{5}{2} = 2.5$
2 не имеет решения
3
${0.6}^{3 - x} = 0.216 \\ {0.6}^{3 - x} = {0.6}^{3} \\ 3 - x = 3 \\ x = 0$
4
$7 \times {5}^{x} - {5}^{x + 1} = 2 \times {5}^{ - 3} \\ {5}^{x} = y \\ 7y - 5y = \frac{2}{125} \\ 2y = \frac{2}{125} \\ y = \frac{1}{125} = {5}^{ - 3} \\ {5}^{x} = {5}^{ - 3} \\ x = - 3$
5
$2 \times \frac{ {7}^{2x} }{7} - 3 \times {7}^{2x} \times 7 = 14 \\ y = {7}^{2x} \\ \frac{2y}{7} - 21y = 14 \\ 2y - 147y = 98 \\ - 145y = 98 \\ y = - \frac{98}{ 145} \\ {7}^{2x} = - \frac{98}{145}$
Нет корней
6.
${7}^{2x} \times 7 - 98 \times {7}^{x} = 147 \\ y = {7}^{x} \\ 7 {y}^{2} - 98y - 147 = 0 \\ y1 = 7 + \sqrt{70} \\ y2 = 7 - \sqrt{70} \\ x = log_{7}(7 +- \sqrt{70} )$

1 votes Thanks 1

Answers & Comments

Verified answer

Helpful Links

Helpful Social