Final answer:
The simplified answer for the logarithmic expression ln(e⁻²²) + ln(e⁻²²) is -44, as ln and e are inverse functions and thus cancel each other out.
Step-by-step explanation:
To evaluate the logarithmic expression ln(e⁻²²) + ln(e⁻²²), we need to apply the properties of logarithms. We know that the natural logarithm, ln, and the base e of the natural logarithms are inverse functions. This means that ln(eˣ) = x for any power x.
Therefore, ln(e⁻²²) simply equals -22 because the natural logarithm cancels the e exponent. Now, since we have two identical terms being added, we have:
ln(e⁻²²) + ln(e⁻²²) = -22 + -22 = -44.
The simplified answer to the logarithmic expression ln(e⁻²²) + ln(e⁻²²) is -44.