Question 280008
Manipulate to isolate e^x.


5(1+e^x/3)=8.2
1+e^x/3=8.2/5=41/25
e^x/3=41/25  - 25/25
e^x=3*16/25=48/25

Now, we get rid of e by taking the natural logarithm of both sides of the equation.

ln(e^x)=ln(48/25)

By definition this is the same as:

x=ln(48/25)

And, using a calculator we find that x is approximately 0.652325