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Problems
If
a
log
b
c
=
3
⋅
3
log
4
3
⋅
3
log
4
3
log
4
3
⋅
3
log
4
3
log
4
3
log
4
3
⋯
a^{\log_b c} = 3 \cdot 3^{\log_4 3} \cdot 3^{\log_4 3^{\log_4 3}} \cdot 3^{\log_4 3^{\log_4 3^{\log_4 3}}} \cdots
a
l
o
g
b
c
=
3
⋅
3
l
o
g
4
3
⋅
3
l
o
g
4
3
l
o
g
4
3
⋅
3
l
o
g
4
3
l
o
g
4
3
l
o
g
4
3
⋯
…
Problem
If
a
log
b
c
=
3
⋅
3
log
4
3
⋅
3
log
4
3
log
4
3
⋅
3
log
4
3
log
4
3
log
4
3
⋯
a^{\log_b c} = 3 \cdot 3^{\log_4 3} \cdot 3^{\log_4 3^{\log_4 3}} \cdot 3^{\log_4 3^{\log_4 3^{\log_4 3}}} \cdots
a
l
o
g
b
c
=
3
⋅
3
l
o
g
4
3
⋅
3
l
o
g
4
3
l
o
g
4
3
⋅
3
l
o
g
4
3
l
o
g
4
3
l
o
g
4
3
⋯
(to
∞
\infty
∞
), where
a
,
b
,
c
∈
Q
a, b, c \in Q
a
,
b
,
c
∈
Q
, the value of
a
b
c
abc
ab
c
is a. 9 b. 12 c. 16 d. 20
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