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Byju's Answer
Standard VIII
Mathematics
Cube Numbers
If x=log_cb +...
Question
If x=\log{}_cb +\log{}_bc, y=\log{}_ac +log{}_ca and z=\log{}_ba +\log{}_ab, then x^2 +y^2 +z^2 is equal to (A) 1 (B) 2 (C) xyz (D) xyz +4
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Similar questions
Q.
Prove that if x =
l
o
g
c
b
+
l
o
g
b
c
y
=
l
o
g
a
c
+
l
o
g
c
a
,
z
=
l
o
g
b
a
+
l
o
g
a
b
then
x
y
z
=
x
2
+
y
2
+
z
2
−
4.
Q.
The value of the expression
1
1
+
log
b
a
+
log
b
c
+
1
1
+
log
c
a
+
log
c
b
+
1
1
+
log
a
b
+
log
a
c
is equal to
Q.
Find the value of
1
1
+
log
b
a
+
log
b
c
+
1
1
+
log
c
a
+
log
c
b
+
1
1
+
log
a
b
+
log
a
c
.
Q.
If
log
b
a
+
log
c
a
+
log
a
b
+
log
a
c
+
log
b
c
+
log
c
b
=
3
(where
a
,
b
,
c
are different positive real numbers
≠
1
), then find the value of
a
b
c
Q.
If
x
=
l
o
g
b
a
,
y
=
l
o
g
c
b
,
z
=
l
o
g
a
c
, then xyz is
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