Question

How do you solve?: 10exp(x) = (1.2)exp(x+10) - 3

Answer 1

`x=-9.0833`

Explanation:

`10e^x=1.2e^(x+10)-3`

i.e. `10e^x=1.2e^x*e^10-3`

or `e^x(1.2e^10-10)=3`

and `e^x=3/(1.2e^10-10)`

= `3/(26431.7-10)=3/26421.7=1.13543*10^(-4)`

and `x=ln(1.13543*10^(-4))=-9.0833`