Question

Find value of x in it5[5^x+5^-x]=26

Answer 1

Answer:

5(5x + 5-x) = 26

let 5x = y so 5-x = 1/y

5(y + 1/y) = 26

5( (y2 + 1)/y ) = 26

(y2 + 1)/y = 26/5

so 5x = 5

x = 1