find-the-range-f-x-log-4-log-2-log-1-2-x-

Question Number 98885 by M±th+et+s last updated on 16/Jun/20

f i n d t h e r a n g e

f (x) = {l o g}_{4} {l o g}_{2} {l o g}_{\frac{1}{2}} (x)

Commented by MJS last updated on 17/Jun/20

f (x) defined for 0 < x < \frac{1}{2} \Rightarrow - \infty < f (x) < + \infty

\log_{1 / 2} x = - \log_{2} x

\Rightarrow x > 0

\log_{2} (- \log_{2} x)

\Rightarrow - \log_{2} x > 0 \Rightarrow 0 < x < 1

\log_{4} \log_{2} (- \log_{2} x)

\Rightarrow \log_{2} (- \log_{2} x) > 0 \Rightarrow 0 < x < \frac{1}{2}

Commented by M±th+et+s last updated on 17/Jun/20

t h a n k y o u s i r