Respuesta :

B. In 70.81=a

ln(e^a) = a

Answer:

Option B is correct

[tex]\ln 70.81 =a[/tex]

Step-by-step explanation:

Using the logarithmic rule:

[tex]\ln e^x = x[/tex]

Given the exponential equation:

[tex]70.81=e^a[/tex]

Taking log with base e (i.e ln) both sides, we have;

[tex]\ln 70.81 = \ln e^a[/tex]

Apply the rule we have;

[tex]\ln 70.81 =a[/tex]

Therefore, [tex]\ln 70.81 =a[/tex] logarithmic equation is equivalent to the given exponential equation