Question

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

Answer 1

B. In 70.81=a

ln(e^a) = a

Answer 2

Option B is correct

`\ln 70.81 =a`

Explanation:

Using the logarithmic rule:

`\ln e^x = x`

Given the exponential equation:

`70.81=e^a`

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

`\ln 70.81 = \ln e^a`

Apply the rule we have;

`\ln 70.81 =a`

Therefore,
`\ln 70.81 =a` logarithmic equation is equivalent to the given exponential equation