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Domain of the function defined by 2^x + 2^y = 2 (or e^x + e^y = e)

The same question, asked 5 times: 9 May 2023 S2*, 10 May 2023 S1*, 11 May 2024 S1*, 13 May 2024 S2*, 16 Apr 2026 S2. Every wording below, oldest first.

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  1. Question 1

    9 May 2023 S2

    126
    The domain of definition of the function f(x)f(x) given by the equation 2x+2y=22^x + 2^y = 2 is

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  2. Question 2

    10 May 2023 S1

    117
    The domain of definition of the function y(x)y(x) given by the equation 2x+2y=22^x+2^y=2, is

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  3. Question 3

    11 May 2024 S1

    121
    The domain of the function given by 2x+2y=22^x + 2^y = 2 is

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  4. Question 4

    13 May 2024 S2

    135
    The domain of the definition of the function y(x)y(x) is given by the equation 2x+2y=22^x+2^y=2 is

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  5. Question 5

    16 Apr 2026 S2

    69
    If ex+ef(x)=ee^x + e^{f(x)} = e, then the domain of f(x)f(x) is

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