Answer:
B. [tex]\ln 87.18=a[/tex]
Step-by-step explanation:
We are given,
The logarithmic equation is [tex]87.18=e^a[/tex].
Taking log with base 'e' on both sides, we get,
[tex]87.18=e^a[/tex]
i.e. [tex]\log_{e}87.18=\log_{e}e^a[/tex] ............([tex]\log x^y=y\log x[/tex])
i.e. [tex]\log_{e}87.18=a\log_{e}e[/tex] ............([tex]\log_{a}a=1[/tex]
i.e. [tex]\log_{e}87.18=a[/tex]
Thus, option B is correct.