Question

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

$\huge\star\bold\red{ANSWER}$

${2}^{x}$+${2}^{x}$+${2}^{x}$=192

${2}^{x×x}$+${2}^{x}$=2⁷+2⁶

On comparing LHS with RHS

we get,

{2}^{x²}=2⁷

x²=7

x=√7 (neglected)

and,

${2}^{x}$ =2⁶

x=6 .....ans....

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