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German National Olympiad
1969 German National Olympiad
4
4
Part of
1969 German National Olympiad
Problems
(1)
|log_2(x + y)| + | log_2(x - y)| = 3, xy = 3
Source: 1968-69 Germany R4 12.4
10/13/2024
Solve the system of equations:
∣
log
2
(
x
+
y
)
∣
+
∣
log
2
(
x
−
y
)
∣
=
3
|\log_2(x + y)| + | \log_2(x - y)| = 3
∣
lo
g
2
(
x
+
y
)
∣
+
∣
lo
g
2
(
x
−
y
)
∣
=
3
x
y
=
3
xy = 3
x
y
=
3
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System