Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Let
0
<
a
<
1
0<a<1
0
<
a
<
1
and let
u
,
v
u,v
u
,
v
be positive real numbers with
u
>
v
u>v
u
>
v
. Which one of the following inequalities is always true? a)
log
a
u
log
a
v
>
0
\log_a u\,\log_a v>0
lo
g
a
u
lo
g
a
v
>
0
b)
log
a
u
v
>
0
\log_a \dfrac{u}{v}>0
lo
g
a
v
u
>
0
c)
log
a
u
>
log
a
v
\log_a u>\log_a v
lo
g
a
u
>
lo
g
a
v
d)
log
a
u
<
log
a
v
\log_a u<\log_a v
lo
g
a
u
<
lo
g
a
v
Browse the problem library