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Which logarithmic equation is equivalent to the exponential equation below?

87.18= e^a

ALog87.18 3.45=e
BIn 87.18=a
CLoga 87.18=3.45
DIn a= 87.18

Verified Answer :

bcalle

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

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.