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Mathematics
Mathematics
Problem
If
log
64
x
2
+
log
8
y
+
3
log
512
(
y
z
)
=
4
\log_{64} x^2 + \log_8 \sqrt{y} + 3 \log_{512} (\sqrt{y}z) = 4
lo
g
64
x
2
+
lo
g
8
y
+
3
lo
g
512
(
y
z
)
=
4
, where
x
,
y
x, y
x
,
y
and
z
z
z
are positive real numbers, then the minimum possible value of
(
x
+
y
+
z
)
(x + y + z)
(
x
+
y
+
z
)
is a. A 48 b. B 36 c. C 24 d. D 96
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