How do I solve for t in this equation? I know I'm supposed to use ln() to work it out, but I can't remember how it's done. Can anyone help? The equation is 40e^(-t/5)=20

st3he1d0t 2022-10-09 Answered
How do I solve for t in this equation?
I know I'm supposed to use ln ( ) to work it out, but I can't remember how it's done. Can anyone help?
The equation is
40 e t / 5 = 20
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Answers (2)

Johnny Parrish
Answered 2022-10-10 Author has 12 answers
You have e t / 5 = 1 / 2 taking logaritms t / 5 = ln 2
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seguitzi2
Answered 2022-10-11 Author has 1 answers
40 e t / 5 = 20
Divide both sides by 40:
e t / 5 = 1 2
Take the natural logarithm:
t / 5 = l n ( 2 )
Take the natural logarithm:
t / 5 = l n ( 2 )
Multiply both sides by 5:
t = 5 l n ( 2 )
And thus:
t 3.4657359027997265
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