Question

find the value of x if 1/2^x+1/2^x+1/2^x=3
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Answer 1

Answer:

x = 0

Step-by-step explanation:

Given an equation such that,

$\dfrac{1}{ {2}^{x} } + \dfrac{1}{ {2}^{x} } + \dfrac{1}{ {2}^{x} } = 3$

To find the value of x .

Further simplifying, we will get,

$= > 3 \times \dfrac{1}{ {2}^{x} } = 3 \times 1$

Therefore, we will get,

$= > \dfrac{1}{ {2}^{x} } = 1 \\ \\ = > {2}^{x} = 1$

But, we we know that,

• a^0 = 1

Therefore, we will get,

$= > {2}^{x} = {2}^{0}$

Now, on both sides, bases are same.

Therefore, the exponent will also be same.

Therefore, we will get,

=> x = 0

Hence, the required value of x = 0.

Answer 2

Answer:

$x =0$

Step-by-step explanation:

Because ,  we get  3×(1/2)^{x} =3

                       so ,   (1/2)^{x} = 1

                       so ,   x = 0

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