Chapter 7 - Exponential and Logarithmic Functions - 7-6 Natural Logarithms - Lesson Check - Page 480: 4

$\ln{\left(\frac{1}{4}\right)}$

RECALL: $b\cdot \ln{a}=\ln{\left(a^b\right)}$ Use the rule above to obtain: \begin{align*} -2\ln{2}&=\ln{\left(2^{-2}\right)}\\ &=\ln{\left(\frac{1}{2^2}\right)}\\ &=\ln{\left(\frac{1}{4}\right)} \end{align*}