How would I rearrange this equation to make - \lambda t the subject? e^(-\lambda t) = (N)/(M)

Question

How would I rearrange this equation to make
`- \lambda t` the subject?


`e^(-\lambda t) = (N)/(M)`

Answer 1

easy
remember
ln(e^x)=x
so


`e^(-thingt)= (N)/(M)`
take the ln of booth sides
-λt=
`ln (N)/(M)`