The number of integer solutions of the equation 1

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The number of integer solutions of the equation

{|1 - i|}^{x} = 2^{x}

MathematicsComplex NumberAP EAMCETAP EAMCET 2022 (04 Jul Shift 1)

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Solution:

1504 Upvotes Verified Answer

The correct answer is:

1

Given ${|1 - i|}^{x} = 2^{x}$
i.e. $2^{\frac{x}{2}} = 2^{x}$
$2^{\frac{x}{2}} = 1 = 2^{0} \Rightarrow x = 0$
Hence, only one integral solution.

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