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Mathematics
Problem
Let
f
(
x
)
=
e
2
x
f(x)=e^{2x}
f
(
x
)
=
e
2
x
and
g
(
x
)
=
5
e
x
g(x)=5e^{x}
g
(
x
)
=
5
e
x
for all real
x
x
x
. For which values of
x
x
x
does
f
f
f
grow faster than
g
g
g
? a)
x
<
ln
(
2.5
)
x<\ln(2.5)
x
<
ln
(
2.5
)
b)
x
>
ln
5
x>\ln 5
x
>
ln
5
c)
x
>
ln
(
2.5
)
x>\ln(2.5)
x
>
ln
(
2.5
)
d)
x
=
ln
(
2.5
)
x=\ln(2.5)
x
=
ln
(
2.5
)
only
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