Find a simplified series re of x^4e^(7x)
Answers
Step-by-step explanation:
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i think you just started the norns and basics of precalculus
i am glad you asked
so anyways here is your answer and explanation
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4
e
7
x
=
10273
Divide each term by
4
and simplify.
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e
7
x
=
10273
4
Take the natural logarithm of both sides of the equation to remove the variable from the exponent.
ln
(
e
7
x
)
=
ln
(
10273
4
)
Use logarithm rules to move
7
x
out of the exponent.
7
x
ln
(
e
)
=
ln
(
10273
4
)
The natural logarithm of
e
is
1
.
7
x
⋅
1
=
ln
(
10273
4
)
Multiply
7
by
1
.
7
x
=
ln
(
10273
4
)
Divide each term by
7
and simplify.
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x
=
ln
(
10273
4
)
7
The result can be shown in multiple forms.
Exact Form:
x
=
ln
(
10273
4
)
7
Decimal Form:
x
=
1.12156857
…
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