Question

Z power x minus 2 is equals to 3 power x + 1 then value of 2 power 1 + X is​

Answer 1

Answer:

Given:

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

2

x−2

2

x−1

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

2

x+1

2

−x

\text{and}\;\;a-b=0anda−b=0

\textbf{To find: x}To find: x

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

2

x−2

2

x−1

−

2

x+1

2

−x

=0

\implies\;2^{x-1-x+2}-2^{-x-x-1}=0⟹2

x−1−x+2

−2

−x−x−1

=0

\implies\;2^{1}-2^{-2x-1}=0⟹2

1

−2

−2x−1

=0

\implies\;2^{1}=2^{-2x-1}⟹2

1

=2

−2x−1

\text{Equating powers on bothsides}Equating powers on bothsides

1=-2x-11=−2x−1

2=-2x2=−2x

\implies\boxed{\bf\;x=-1}⟹

x=−1

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

\textbf{Find more:}Find more:

If 5^x-1 + 5^x+1=650 then find x