1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard IX
Mathematics
Natural Logarithm
If log a/b-c=...
Question
If
l
o
g
a
b
−
c
=
l
o
g
b
c
−
a
=
l
o
g
c
a
−
b
, then
a
a
.
b
b
.
c
c
=
Open in App
Solution
Let each ratio be k and
y
=
a
a
b
b
c
c
Then,
l
o
g
a
=
k
(
b
−
c
)
l
o
g
b
=
k
(
c
−
a
)
l
o
g
c
=
k
(
a
−
b
)
and
l
o
g
y
=
a
a
b
b
c
c
l
o
g
y
=
a
l
o
g
a
+
b
l
o
g
b
+
c
l
o
g
c
l
o
g
y
=
k
(
b
−
c
)
+
k
(
c
−
a
)
+
k
(
a
−
b
)
l
o
g
y
=
k
(
b
−
c
+
c
−
a
+
a
−
b
)
∴
l
o
g
y
=
0
⇒
y
=
1
or
a
a
b
b
c
c
=
1
Suggest Corrections
0
Similar questions
Q.
If
l
o
g
a
b
−
c
=
l
o
g
b
c
−
a
=
l
o
g
c
a
−
b
then
a
a
.
b
b
.
c
c
=
Q.
If
l
o
g
a
b
−
c
=
l
o
g
b
c
−
a
=
l
o
g
c
a
−
b
, then evaluate
a
a
.
b
b
.
c
c
.
Q.
If
a
,
b
,
c
∈
+
R
, then the minimum value of
a
log
b
−
log
c
+
b
log
c
−
log
a
+
c
log
a
−
log
b
is
Q.
If
log
a
b
−
c
=
log
b
c
−
a
=
log
c
a
−
b
,
then
Q.
If
log
a
b
−
c
=
log
b
c
−
a
=
log
c
a
−
b
then prove that
a
a
.
b
b
.
c
c
=
1
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Laws of Logarithm with Use
MATHEMATICS
Watch in App
Explore more
Natural Logarithm
Standard IX Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Solve
Textbooks
Question Papers
Install app