Question

Which logarithmic equation is equivalent to the exponential equation below?

Answer 1

The answer is B.
ln both sides to clear the 'e' and bring 'a' out of the power.

Answer 2

Answer:

B. $\ln 87.18=a$

Step-by-step explanation:

We are given,

The logarithmic equation is $87.18=e^a$.

Taking log with base 'e' on both sides, we get,

$87.18=e^a$

i.e. $\log_{e}87.18=\log_{e}e^a$  ............($\log x^y=y\log x$)

i.e. $\log_{e}87.18=a\log_{e}e$  ............($\log_{a}a=1$

i.e. $\log_{e}87.18=a$

Thus, option B is correct.