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Which logarithmic equation is equivalent to the exponential equation below?
87.18= e^a

A. Log87.18 3.45=e
B. In 87.18=a
C. Loga 87.18=3.45
D. In a= 87.18

Respuesta :

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

Answer:

B. [tex]\ln 87.18=a[/tex]

Step-by-step explanation:

We are given,

The logarithmic equation is [tex]87.18=e^a[/tex].

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

[tex]87.18=e^a[/tex]

i.e. [tex]\log_{e}87.18=\log_{e}e^a[/tex]  ............([tex]\log x^y=y\log x[/tex])

i.e. [tex]\log_{e}87.18=a\log_{e}e[/tex]  ............([tex]\log_{a}a=1[/tex]

i.e. [tex]\log_{e}87.18=a[/tex]

Thus, option B is correct.

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