Use a calculator to find the natural logarithm correct to four decimal places.
-$\ln \left( 1.65 \cdot e ^ { - 6 } \right)$
A) $0.5008$
B) $0.5023$
C) $6.5008$
D) $- 5.4992$

Question

Quizplus · Accepted Answer

The natural logarithm of a product is the sum of the natural logarithms of its factors. Thus, $\ln(1.65 \cdot e^{-6}) = \ln(1.65) + \ln(e^{-6})$. Since $\ln(e^{-6}) = -6$ (because the natural logarithm of $e$ to any power is that power), and using a calculator, $\ln(1.65) \approx 0.5008$, the sum is $0.5008 - 6 = -5.4992$.

Use a Calculator to Find the Natural Logarithm Correct to Four