Question

What is log|x|² for x=e²

Answer 1

Answer:

4

Step-by-step explanation:

Assuming thay base to the log here is e.

$\\\tt log _ { e} |x|^{2}$

Substituting the value;

$\\\tt log _ { e} | {e}^{2} |^{2} \\\tt = log _ { e} |e|^{4}$

Using property:

$\ \ \tt log( {x}^{y} ) = y log(x)$

We have,

$\\\tt = log _ { e} e^{4} \\\tt = 4$