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1
Romania NMO 2023 Grade 10 P1
Romania NMO 2023 Grade 10 P1
Source: Romania National Olympiad 2023
April 14, 2023
exponential
Exponential equation
algebra
Problem Statement
Solve the following equation for real values of
x
x
x
:
2
(
5
x
+
6
x
ā
3
x
)
=
7
x
+
9
x
.
2 \left( 5^x + 6^x - 3^x \right) = 7^x + 9^x.
2
(
5
x
+
6
x
ā
3
x
)
=
7
x
+
9
x
.
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