if a is equal to 2 power x minus 1 upon 2 power x - 2 and b is equal t

1.	if a is equal to 2 power x minus 1 upon 2 power x - 2 and b is equal to 2 power minus x upon 2 power x + 1 and a minus b is equal to zero then find the value of x
Answer» $\textbf{Given:}$ $a=\displaystyle\frac{2^{x-1}}{2^{x-2}}$ $b=\displaystyle\frac{2^{-x}}{2^{x+1}}$ $\text{and}\;\;a-b=0$ $\textbf{To <klux>FIND</klux>: x}$ $\implies\displaystyle\frac{2^{x-1}}{2^{x-2}}-\frac{2^{-x}}{2^{x+1}}=0$ $\implies\;2^{x-1-x+2}-2^{-x-x-1}=0$ $\implies\;2^{1}-2^{-2x-1}=0$ $\implies\;2^{1}=2^{-2x-1}$ $\text{Equating powers on bothsides}$ $1=-2x-1$ $2=-2x$ $\implies\boxed{\bf\;x=-1}$ $\therefore\textbf{The value of x is -1}$ $\textbf{Find more:}$ If 5^x-1 + 5^x+1=650 then find x brainly.in/question/11573395