logarithm equation with different bases. Why is this like it is? :D <mstyle displaystyle="true

polivijuye

polivijuye

Answered question

2022-06-16

logarithm equation with different bases.
Why is this like it is? :D
1 log a e = ln ( a )
I'm solving some exercises and I ran up to this? Maybe it's really banal, but please explain me...

Answer & Explanation

Ryan Newman

Ryan Newman

Beginner2022-06-17Added 26 answers

Note that ln a = log e a
log a e = ln e ln a = 1 ln a
So, 1 log a e =
Reed Eaton

Reed Eaton

Beginner2022-06-18Added 4 answers

We can prove
log a b = log c b log c a
where a , c > 0 , 1
log a b log b a = = 1
and conventionally Natural logarithm is written as ln a which means log e a

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