Question

if 2*-1+2*+1=320, then x is equal to​

Answer 1

Answer:

Step-by-step explanation:

∵ 2x - 1 + 2x + 1 = 320

Apply the law of Algebra

⇒ 2x - 1(1 + 2 2 ) = 320

⇒ 2x - 1(1 + 4 ) = 320

⇒ 2x - 1 x 5 = 320

⇒ 2x - 1 = 64 = 2 x 2 x 2 x 2 x 2 x 2

⇒ 2x - 1 = 26

if pX = pY then X will be equal to Y. means X = Y;

⇒ x - 1 = 6

∴ x = 7

Answer 2

Step-by-step explanation:

$\bf \underline{Given-}$

$\sf{ {2}^{x - 1} + {2}^{x + 1} = 320 }$

$\bf \underline{To \: find-}$

$\textsf{the value of x = ?}$

$\bf \underline{Solution-}$

$\textsf{We have,}$

$\sf{ {2}^{x +1} + {2}^{x - 1} = 320 }$

$\sf{ \Rightarrow \: {2}^{x} \: . \: {2}^{1} + {2}^{x} \: . \: {2}^{ - 1} = 320}$

$\sf{ \Rightarrow \: {2}^{x} \bigg(2 + \frac{1}{2} \bigg) = 320 }$

$\sf{ \Rightarrow \: {2}^{x} \times \frac{5}{2} = 320 }$

$\sf{ \Rightarrow \: {2}^{x} = \frac{320 \times 2}{5} }$

$\sf{ \Rightarrow \: {2}^{x} = \cancel{\frac{ {640}^{128} }{5} } }$

$\sf{ \Rightarrow \: {2}^{x} = 128}$

$\sf{ \Rightarrow \: {2}^{x} = {2}^{7} }$

$\sf{ \Rightarrow \: x =7}$

$\bf \underline{Answer-}$

$\bf{ \underline{Hence, the \: value \: of \: x \: is \: 7.}}$