Natural Log

Determine the value of:

Hint
The logarithm of $$x$$ to the Base $$b$$ is defined by
$$$log_b(x)=c$$$
where $$b^c=x$$ .
Hint 2
Special definitions when $$b=e$$ or $$b=10$$ are:
  • ln $$x$$ → Base = $$e$$
  • log $$x$$ → Base = 10
The logarithm of $$x$$ to the Base $$b$$ is defined by
$$$log_b(x)=c$$$
where $$b^c=x$$ . Special definitions when $$b=e$$ or $$b=10$$ are:
  • ln $$x$$ → Base = $$e$$
  • log $$x$$ → Base = 10

Analyzing the natural log section:
$$$ln(e^{x^3-1})=ln_e(e^{x^3-1})=(x^3-1)$$$
Since the original equation had a multiple of 4:
$$$4(x^3-1)=4x^3-4$$$
$$$4x^3-4$$$