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2022 Bulgarian Spring Math Competition
Problem 11.1
Equation with logs
Equation with logs
Source: 2022 Bulgarian Spring Math Competition, Problem 11.1
March 27, 2022
algebra
logarithms
Problem Statement
Solve the equation
(
x
+
1
)
log
3
2
x
+
4
x
log
3
x
−
16
=
0
(x+1)\log^2_{3}x+4x\log_{3}x-16=0
(
x
+
1
)
lo
g
3
2
x
+
4
x
lo
g
3
x
−
16
=
0
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