I want to know the every step and how to solve it I was absent that day and I didn’t understand anything that the teacher teaches us please help!

We want to write the following log equation:
[tex]\ln (4x+8)=x+5[/tex]As an exponential equation.
For this, we could elevate both sides of the equation with the base e. (Euler's number). This is:
[tex]e^{\ln (4x+8)}=e^{(x+5)}[/tex]There's something important we have to notice, and it is the fact that:
[tex]e^{ln(x)}=x[/tex]That's a logarithm property. So, if we apply it to our equation:
[tex]4x+8=e^{(x+5)}[/tex]And that's the exponential equation.