Ln Base

Solve the shown logarithm:

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

Since the natural log has a default base of $$e$$ :
$$$ln(e^4) \times 3e=ln_e(e^4) \times 3e=(4)\cdot 3e=12e$$$
Since Euler’s number, $$e$$ , is a mathematical constant approximately equal to 2.718, another answer is: $$12 \times 2.718=32.6$$ .
12 $$e$$ or 32.6