Solve the equation
25
(
1
+
w
)
9
=
5
\displaystyle {25}{\left({1}+{w}\right)}^{{9}}={5}
25
(
1
+
w
)
9
=
5
. Assume that
1
+
w
>
0
\displaystyle {1}+{w}>{0}
1
+
w
>
0
.
Round answer to the nearest thousandth (3 decimal places)
.
w
\displaystyle {w}
w
=
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