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Chisinau City MO
1949-56 Chisinau City MO
40
Chisinau MO p40 1949-56 VIII-IX system 3x3 log_{2} x + log_{4} y +log_{4} z =2
Chisinau MO p40 1949-56 VIII-IX system 3x3 log_{2} x + log_{4} y +log_{4} z =2
Source:
March 15, 2021
algebra
system of equations
logarithm
Problem Statement
Solve the system of equations:
{
log
2
x
+
log
4
y
+
log
4
z
=
2
log
3
y
+
log
9
z
+
log
9
x
=
2
log
4
z
+
log
16
x
+
log
16
y
=
2
\begin{cases} \log_{2} x + \log_{4} y + \log_{4} z =2 \\ \log_{3} y + \log_{9} z + \log_{9} x =2 \\ \log_{4} z + \log_{16} x + \log_{16} y =2\end{cases}
⎩
⎨
⎧
lo
g
2
x
+
lo
g
4
y
+
lo
g
4
z
=
2
lo
g
3
y
+
lo
g
9
z
+
lo
g
9
x
=
2
lo
g
4
z
+
lo
g
16
x
+
lo
g
16
y
=
2
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