What is the range of log_{1/2}(x) ?

The range of log_{1/2}(x) is -infinity <f(x)<infinity

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range of log_{1/2}(x)

range

lo g_{\frac{1}{2}} (x)

- \infty < f (x) < \infty

Interval Notation

(- \infty, \infty)

Solution steps

The range of a logarithmic function of the form

c \cdot lo g (a x + b) + k

is all the real numbers

- \infty < f (x) < \infty

f (x) = x^{2} + 6 x + 9

∣ x - 3 ∣

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

f (x) = \frac{1}{x - 7} + 4

f (x) = \frac{1 - 6 t}{2 + t}

What is the range of log_{1/2}(x) ?
The range of log_{1/2}(x) is -infinity <f(x)<infinity