Answer:
C) a = ln (38.47).
Step-by-step explanation:
Given : [tex]E^{a}[/tex] = 38.47
To find : Which logarithmic equation is equivalent to the exponential equation.
Solution : We have given that : [tex]E^{a}[/tex] = 38.47.
Taking natural logarithm both sides
[tex]log_{e}(E^{a})[/tex] = log(38.47).
By the logarithm rule: [tex]log_{a}(a^{n})= n[/tex] ; [tex]log_{e}(e) = 1.[/tex]=1.
Then , a = ln (38.47).
Therefore,C) a = ln (38.47).