Answer:
because It's rounded to the nearest hundred place
Step-by-step explanation:
Given equation:
- [tex] \ln(x ) = - 3[/tex]
recall that,
[tex] \ln(a ) = b \iff {e}^{b} = a[/tex]
remember, In is natural logarithm which is actually nothing but common logarithm with the base euler's number (e) . anyway rewriting lnx=-3 yields:
[tex] \ln( x ) = - 3\\ \iff {e}^{ - 3} = \frac{1}{ {e}^{3} } [/tex]
1/e³ is approximately 0.0497870684..... , rounding it to the nearest hundred place would be 0.05 which is the same answer as your textbook .
