Question

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 1

$\textbf{Given:}$

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

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

$\text{and}\;\;a-b=0$

$\textbf{To find: x}$

$\implies\displaystyle\frac{2^{x-1}}{2^{x-2}}-\frac{2^{-x}}{2^{x+1}}=0$

$\implies\;2^{x-1-x+2}-2^{-x-x-1}=0$

$\implies\;2^{1}-2^{-2x-1}=0$

$\implies\;2^{1}=2^{-2x-1}$

$\text{Equating powers on bothsides}$

$1=-2x-1$

$2=-2x$

$\implies\boxed{\bf\;x=-1}$

$\therefore\textbf{The value of x is -1}$

$\textbf{Find more:}$

If 5^x-1 + 5^x+1=650 then find x​

https://brainly.in/question/11573395

Answer 2

Answer:

please mark as brainlist .please