Respuesta :

nemesis55
[tex]ln(e^2) [/tex]

can be rewritten as:

[tex]2\cdot ln(e)[/tex]

Since;

[tex]ln(e) = log_e(e) = 1[/tex]

[tex]=\ \textgreater \ 2\cdot ln(e) = 2\cdot 1 = 2[/tex]

As per logarithm, the expressions 2 ln(e) and 1 are equivalent to ln(e²).

What is logarithm?

"A logarithm is the power to which a number must be raised in order to get some other number. In mathematics, logarithm is the inverse function of exponentiation."

What is the difference between log (x) and ln (x)?

Here, log(x) is defined such that it has a base of 10. Whereas ln(x) is defined such that it has a base of e.

Given, ln(e²)

= 2 ln(e)

= 2 × 1  [as the value of ln(e) = 1]

= 2.

Therefore, option A and option B both are correct.

Learn more about logarithm here: https://brainly.com/question/9090403

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