7^x-(〖1/7)〗^(1-x )=6

7^x - (1/7)^(1-x) = 6

7^x - 1/7 *7^x = 6

7^x ( 1- 1/7) = 6

7^x ( 6/7) =6

7^x=7

x=1

7^ X - 17^(1-X) = 6

........................

17 ^ (1-X) = 7 ^ -(1-X) = 7 ^ X - 1

...........

7 ^X - 7^ (X-1) = 6

7^X*(1 - 7^-1) = 6

7^X* 67 = 6

7^X = 6 : 67

7^X = 7^1

X = 1

Ответ Х = 1