Explanation
We must find the equivalent expression to the logarithmic equation:
[tex]87.18=e^a.[/tex]
We consider the following properties of logarithms:
[tex]\begin{gathered} \ln(x^a)=a\cdot\ln(x), \\ \ln(e)=1. \end{gathered}[/tex]
(1) Taking the logarithm on both sides and using the first property, we have:
[tex]\ln(87.18)=a\cdot\ln(e).[/tex]
(2) Using the second property, we get:
[tex]\begin{gathered} \ln(87.18)=a\cdot1, \\ \ln(87.18)=a. \end{gathered}[/tex]Answer
B. ln 87.18 = a
