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

st3he1d0t

Answered question

2022-10-09

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

Answer & Explanation

Johnny Parrish

Johnny Parrish

Beginner2022-10-10Added 12 answers

You have e t / 5 = 1 / 2 taking logaritms t / 5 = ln 2
seguitzi2

seguitzi2

Beginner2022-10-11Added 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

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?