MathDB
Problems
Contests
National and Regional Contests
Germany Contests
German National Olympiad
1969 German National Olympiad
4
|log_2(x + y)| + | log_2(x - y)| = 3, xy = 3
|log_2(x + y)| + | log_2(x - y)| = 3, xy = 3
Source: 1968-69 Germany R4 12.4
October 13, 2024
algebra
logarithm
logarithms
system of equations
System
Problem Statement
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
Back to Problems
View on AoPS