Question

Помогите пожалуйста, с решением

Answer 1

Ответ:

$1) {9}^{5x - 3} = {9}^{1 + 4x} \\ 5x - 3 = 1 + 4x \\ x = 4$

$2) {3}^{6x - 2} = {3}^{9 + 2x} \\ 6x - 2 = 9 + 2x \\ 4x = 11 \\ x = 2.75$

$3) {(0.1)}^{9x - 8} = {(0.1)}^{9 + 7x} \\ 9x - 8 = 9 + 7x \\ 2x = 17 \\ x = 8.5$

$4) {7}^{2x - 3} = {7}^{0} \\ 2x - 3 = 0 \\ x = \frac{3}{2} \\ x = 1.5$

$5) {2}^{2x - 3} = {2}^{4} \\ 2x - 3 = 4 \\ 2x = 7 \\ x = 3.5$

$6) {3}^{2x - 5} = {3}^{4} \\ 2x - 5 = 4 \\ 2x = 9 \\ x = 3.5$

$7) {5}^{6 - 10x} = {5}^{2} \\ 6 - 10x = 2 \\ - 10x = - 4 \\ x = 0.4$

$8) {6}^{1 - 2x} = {6}^{2} \\ 1 - 2x = 2 \\ - 2x = 1 \\ x = - 0.5$

$9) {2}^{x - 4} = {2}^{5} \\ x - 4 = 5 \\ x = 9$

$10) {3}^{3x + 6} = {3}^{3} \\ 3x + 6 = 3 \\ 3x = - 3 \\ x = - 1$

$11) {8}^{6 - 4x} = {8}^{ - 1} \\ 6 - 4x = - 1 \\ - 4x = - 7 \\ x = 1.75$

$12) {5}^{x - 7} = {5}^{ - 3} \\ x - 7 = - 3 \\ x = 4$