Answer:
The solution is[tex]x = 0.3863[/tex]
Step-by-step explanation:
The first step to solve this equation is placing everything with the exponential to one side of the equality, and everything without the exponential to the other side. So
[tex]e^{x+1} = 4[/tex]
We already have this, so the first part is ok.
Now, the ln is the interse operation to the exponential, so we apply the ln to both sides of the equality.
[tex]\ln{e^{x+1}} = \ln{4}[/tex]
[tex]x + 1 = 1.3863[/tex]
[tex]x = 1.3863 - 1[/tex]
[tex]x = 0.3863[/tex]
