Is this correct??????

Answer: a) x ≈ 7.39
Step-by-step explanation:
[tex]6+ln\ x=8\\\\\\\text{Subtract 6 from both sides:}\\ln\ x=2\\\\\\\text{Apply e to both sides:}\\e^{ln\ x}=e^2\\\\\\\text{Cancel out }e^{ln}:\\x=e^2\\\\\\\text{Use a calculator to find the value of }e^2:\\x\approx7.389\\\\\\\text{Rounded to the nearest hundredth:}\\\large\boxed{x\approx 7.39}[/tex]