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Byju's Answer
Standard VII
Mathematics
Power of a Power
If 4x = 8y ...
Question
If
4
x
=
8
y
=
16
z
then prove that
2
y
=
1
x
+
1
z
Open in App
Solution
Given,
4
x
=
8
y
=
16
z
2
2
x
=
2
3
y
=
2
4
z
By comparing
2
x
=
3
y
=
4
z
.......(1)
R
.
H
.
S
=
1
x
+
1
z
=
1
3
y
2
+
1
3
y
4
{using (1)}
=
2
3
y
+
4
3
y
=
2
+
4
3
y
=
6
3
y
=
2
y
=
L
.
H
.
S
Suggest Corrections
0
Similar questions
Q.
If
4
x
=
8
y
=
16
z
, then prove that
(
2
y
)
=
(
1
x
+
1
z
)
.
Q.
Let
P
(
x
)
=
4
x
2
+
9
y
2
+
16
z
2
+
12
x
y
+
24
y
z
+
16
x
z
f
actorize
P
(
x
)
for
x
=
1
,
y
=
1
,
z
=
1.
Q.
If (x,y) be a real solution of the equation
x
2
+
12
x
y
+
4
y
2
+
4
x
+
8
Y
+
20
=
0
then prove that
x
∉
(
−
2
,
1
)
a
n
d
y
∉
[
−
1
,
1
2
]
Q.
If
cos
−
1
x
+
cos
−
1
y
+
cos
−
1
z
=
π
then, prove that
x
2
+
y
2
+
z
2
+
2
x
y
=
1
Q.
If
cos
−
1
x
+
cos
−
1
y
+
cos
−
1
z
=
π
, then prove that
x
2
+
y
2
+
z
2
+
2
x
y
z
=
1
.
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