ONE
    Númas
    ← Back to the programme
    IBHardFunctions10–12

    How many real solutions does the equation \ln(x) = 2 - x have?

    Quantas soluções reais tem a equação \ln(x) = 2 - x?

    Answer options

    Solution

    Step 1 of 2

    1. 1.Consider g(x) = \ln(x) - 2 + x. g'(x) = \frac{1}{x} + 1 > 0 for x > 0, so g is strictly increasing.