Question

решить верние 6 заданий. ​

Answer 1

$1) {6}^{8 - x} = {6}^{3} \\ 8 - x = 3 \\ x = 5$

$2) {2}^{2(2x - 19)} = {2}^{ - 6} \\ 4x - 38 = - 6 \\ 4x = 32 \\ x = 8$

$3) {( \frac{1}{3}) }^{x - 7} = { \frac{1}{3} )}^{4} \\ x - 7 = 4 \\ x = 11$

$4) {5}^{x - 11} = {5}^{3} \\ x - 11 = 3 \\ x = 14$

$5) {6}^{2(x - 11)} = {6}^{ - 1} \\ 2x - 22 = - 1 \\ 2x = 21 \\ x = 10.5$

$6) {7}^{ - 2(x - 8)} = 7 \\ - 2x + 16 = 1 \\ - 2x = - 15 \\ x = 7.5$