Answer: The correct expression is [tex]\ln 4.[/tex]
Step-by-step explanation: We are given to express the following logarithmic expression as a single natural logarithm.
[tex]E=\ln 32-\ln 8.[/tex]
We will be using the following logarithmic property:
[tex]\ln\dfrac{a}{b}=\ln a-\ln b.[/tex]
We have
[tex]E\\\\=\ln 32-\ln 8\\\\=\ln \dfrac{32}{8}\\\\=\ln 4.[/tex]
Thus, the required single natural logarithm is [tex]\ln 4.[/tex]
