Question

помогите решить математику,10 класс только 1 вариант

Answer 1

Ответ:

$1) {2}^{4 - x} = {2}^{6} \\ 4 - x = 6 \\ x = - 2$

$2) {5}^{x - 7} = {5}^{ - 3} \\ x - 7 = - 3 \\ x = 4$

$3) { \frac{1}{3} }^{x - 8} = { \frac{1}{3} }^{2} \\ x - 8 = 2 \\ x = 10$

$4) {2}^{ - (6 - 2x)} = {2}^{2} \\ - 6 + 2x = 2 \\ 2x = 8 \\ x = 4$

$5) {2}^{4(x - 9)} = {2}^{ - 1} \\ 4x - 36 = - 1 \\ 4x = 35 \\ x = \frac{35}{4} \\ x = 8.75$

$6) {9}^{x - 5} = {9}^{4} \\ x - 5 = 4 \\ x = 9$

$7) {2}^{8 - x} = {2}^{x} \\ 8 - x = x \\ - 2x = - 8 \\ x = 4$

$8) {3}^{ - 2(x - 13)} = 3 \\ - 2x + 26 = 1 \\ - 2x = - 25 \\ x = \frac{25}{2} \\ x = 12.5$

$9) {8}^{3 - x} = {8}^{3} \\ 3 - x = 3 \\ x = 0$

$10) {2}^{3 + x} = \frac{2}{5} \times {5}^{3 + x} \\ \frac{ {2}^{3 + x} }{2} = \frac{ {5}^{3 + x} }{5} \\ {2}^{x + 2} = {5}^{2 + x} \\ x + 2 = 0 \\ x = - 2$