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Mathematics
Problem
For
a
>
0
,
a
≠
1
a>0,\;a\neq1
a
>
0
,
a
=
1
, let
f
(
x
)
=
a
x
f(x)=a^{x}
f
(
x
)
=
a
x
and
g
(
x
)
=
log
a
x
g(x)=\log_{a}x
g
(
x
)
=
lo
g
a
x
. If
f
(
g
(
25
)
−
2
)
=
5
f\bigl(g(25)-2\bigr)=5
f
(
g
(
25
)
−
2
)
=
5
, determine the value of
a
a
a
. a)
5
5
5
b)
1
5
\dfrac{1}{\sqrt{5}}
5
1
c)
5
\sqrt{5}
5
d)
25
25
25
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