Question

2 ki power x minus 2 ki power x minus 1 is equal to 4 then the value of x ki power x is
${2}^{x } - {2}^{x - 1} = 4$
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Answer 1

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Answer 2

The value of $x^x$ is 27.

Step-by-step explanation:

The given equation is

$2^x-2^{x-1}=4$

It can be rewritten as

$2^x-2^x2^{-1}=4$

$2^x-\dfrac{2^x}{2}=4$

Taking out common factors.

$2^x(1-\dfrac{1}{2})=4$

$2^x(\dfrac{1}{2})=4$

Multiply both sides by 2.

$2^x=8$

$2^x=2^3$

On comparing both sides we get

$x=3$

We need to find the value of $x^x$.

$x^x=3^3=27$

Therefore, the value of $x^x$ is 27.

#Learn more

If 4^2x-1 – 16 ^x-1=384 ,then find x

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