Question

a=2^x-1÷2^x-2,b=2^-x÷2^x+1 and a-b =0, find the value of x

Answer 1

$a=\frac{2^{x-1}}{2^{x-2}}$ =$2^{x-1-x+2} =2$

$b=\frac{2^{-x}}{2^{x+1}}$=$2^{-x-x-1} =2^{-2x -1}$

∴a-b =0

=>a=b

=>$2=2^{-2x-1}$

=>1= -2x-1

=>x= -1