Math, asked by tsood09, 11 months ago

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​

Answers

Answered by MaheswariS
31

\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

Answered by swasthibhat
12

Answer:

please mark as brainlist .please

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