Gra4c8Reunanimdm Gra4c8Reunanimdm
  • 03-04-2017
  • Mathematics
contestada

Which logarithmic equation is equivalent to the exponential equation below?
70.81=e^a
A. Log70.81 4.26=e
B. In 70.81=a
C. Loga70.81=4.26
D. In a=70.81

Respuesta :

armada120
armada120 armada120
  • 03-04-2017
B. In 70.81=a

ln(e^a) = a
Answer Link
OrethaWilkison OrethaWilkison
  • 31-05-2019

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

Answer Link

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