What is the domain of log_{2}(log_{2}(1-x)) ?

The domain of log_{2}(log_{2}(1-x)) is x<0

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domain of log_{2}(log_{2}(1-x))

domain

lo g_{2} (lo g_{2} (1 - x))

x < 0

Interval Notation

(- \infty, 0)

Solution steps

Find positive values for logs:

x < 0

The function domain

x < 0

x^{2} + 4 x + 9

f (x) = lo g_{3} (2 x)

lo g_{b} (x^{2} + 1)

f (x) = 5 x + 2

f (x) = \frac{1 + 3 x}{5 - 2 x}

What is the domain of log_{2}(log_{2}(1-x)) ?
The domain of log_{2}(log_{2}(1-x)) is x<0