Answer:
[tex]x=e^{2} -4[/tex]
Step-by-step explanation:
Divide both sides by 5:
[tex]log(x+4)=\frac{10}{5} \\log(x+4)=2[/tex]
Cancel logarithms by taking exp of both sides:
[tex]e^{log(x+4)}=e^{2} \\x+4=e^{2}[/tex]
Solve for x subtracting 4 from both sides:
[tex]x=e^{2} -4[/tex]
