Question

2 to the power x added to 2 to the power x added to 2 to the power x =192 solve..

Answer 1

Solution :

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

=> 3 × 2^x = 192

=> 2^x = 192/3

=> 2^x = 64

=> 2^x = 2^6

=> x = 6

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Answer 2

$\huge{\mathcal{Hi\: there!}}$

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$2 {}^{x} + 2 {}^{x} + 2 {}^{x} = 192 \\ \\ 2 {}^{x} (1 + 1 + 1) = 192 \\ \\ 2 {}^{x} \times 3 = 192 \\ \\ 2 {}^{x} = \frac{192}{3} \\ \\ 2 {}^{x} = 64 \\ \\ \cancel2 \: {}^{x} = \cancel2 \: {}^{6} \\ \\ \therefore x = 6$

Hence, the value of x = 6.

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Thanks for the question !

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