Question

2ˣ + 2ˣ + 2ˣ = 192. Don't simplify this, find the value of x:​

Answer 1

Answer:

x = 6

Step-by-step explanation:

2ˣ+2ˣ+2ˣ = 192

3 * 2ˣ =192

2ˣ = 192 / 3

2ˣ = 64

2ˣ = 2⁶ (2⁶ = 64)

If bases are same, powers are equal.

Therefore, x = 6.

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Answer 2

Given:-

•An equation i.e.

=>2^x+2^x+2^x=192

To find:-

•Value of x in the given equation.

Solution:-

By taking 2^x,as common in the above equation we get:-

=>3(2^x)=192

=>2^x= 192/3

=>2^x=64

Now,we shall express 64 as (2)⁶ to make the bases same.

=>2^x=(2)⁶

Since,the bases are same,we shall equate the powers.

=>x=6

Thus,the value of x is 6.

Verification:-

By,putting the value of x,in the above equation,we get:-

=>(LHS) 2⁶+2⁶+2⁶=192(RHS)

=>64+64+64=192

=>192=192

Hence,LHS=RHS verified.