Answer:
[tex]x^3-8[/tex]
Step-by-step explanation:
apply the inverse properties of logarithmic and exponential functions to simplify
[tex]- 8 + e^{lnx^3}[/tex]
Inverse property of log says that
[tex]e^{ln(x)=x[/tex]
we apply this property in our problem. ln has same base 'e' . so ln and e gets cancelled
[tex]e^{ln(x^3)=x^3[/tex]
[tex]- 8 + e^{lnx^3}[/tex]
[tex]- 8 +x^3[/tex]
[tex]x^3-8[/tex]