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Contests
National and Regional Contests
China Contests
(China) National High School Mathematics League
2023 China Second Round
2
exponents and logarithms
exponents and logarithms
Source: 2023 China Second Round Test 1 P2
June 1, 2024
algebra
logarithms
Problem Statement
if a,b∈R+,
a
log
b
=
2
a^{\log b}=2
a
l
o
g
b
=
2
,
a
log
a
b
log
b
=
5
a^{\log a}b^{\log b}=5
a
l
o
g
a
b
l
o
g
b
=
5
,find out
(
a
b
)
log
a
b
(ab)^{\log ab}
(
ab
)
l
o
g
ab
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