100 ( 1.2

gledanju0

gledanju0

Answered question

2022-06-24

100 ( 1.2 ) t = α t. How do I solve for t?

Answer & Explanation

Arcatuert3u

Arcatuert3u

Beginner2022-06-25Added 30 answers

This can be done using the Lambert W function, which satisfies
z = W ( z ) e W ( z )
In particular, you can rewrite the equation as
t e t ln 1.2 = 100 α
In particular, you can rewrite the equation as
t e t ln 1.2 = 100 α
or
100 ln 1.2 α = ( t ln 1.2 ) e t ln 1.2
So W ( 100 ln 1.2 α ) = t ln 1.2 and
t = 1 ln 1.2 W ( 100 ln 1.2 α )

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