Question

If 7powerx + 7 power -x =2,then find the value of x

Answer 1

Answer:0

Step-by-step explanation:

7^x + 7^(-x) = 2

7^x + 1/7^x = 2

(7^2x + 1) / 7^x = 2

7^2x + 1 = 2.7^x

7^2x - 2.7^x + 1 = 0

from formula (a-b)^2=a^2-2ab+b^2,

(7^x - 1)^2=0

7^x=1

7^x=7^0

x=0