Question

(2^x-2^-x)/(2^x+2^-x)=7/9

Answer 1

(2^x-2^-x)/(2^x+2^-x)=7/9 

9*[2^x-2^(-x)]  =7*[2^x+2^(-x)] 

9*2^(x) -9*(2^(-x) =7*(2^(x) + 7 *2^(-x)

2* 2^(x) =16 * 2^(-x)

 2^(x) =8 * 2^(-x)


 2^(x) =8 *1/2^(x)

2^(2x) =8

2^(2x)=2³

2x=3
x=3/2