Mathematics

Problem

x<y

and

a>1

, which one of the following is always true? a)

\log_{a} x\;>\;\log_{a} y

b) The relation between

\log_{a} x

and

\log_{a} y

depends on whether

a>1

0<a<1

\log_{a} x\;<\;\log_{a} y

d) If

x,\,y<1

then

\log_{a} x>\log_{a} y