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Mathematics
Mathematics
Problem
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
, where
a
>
0
a>0
a
>
0
and
a
≠
1
a\neq 1
a
=
1
. Prove that
f
(
g
(
x
)
)
=
x
f\bigl(g(x)\bigr)=x
f
(
g
(
x
)
)
=
x
for all
x
>
0
x>0
x
>
0
.
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