Natural logarithm problem I'm kind of confused on how to solve this problem! Any guidance/advice would be appreciated. Thanks! e^(−9)e^(−2)e^(9)

Elisabeth Esparza

Elisabeth Esparza

Answered question

2022-07-19

Natural logarithm problem
I'm kind of confused on how to solve this problem! Any guidance/advice would be appreciated. Thanks!
e 9 e 2 e 9

Answer & Explanation

tiltat9h

tiltat9h

Beginner2022-07-20Added 14 answers

In general
a b a c = a b + c
Therefore,
e 9 e 2 e 9 = ( e 9 e 2 ) e 9 = e 11 e 9 = e 2
Damien Horton

Damien Horton

Beginner2022-07-21Added 5 answers

e 9 e 2 e 9 = e ( 9 ) + ( 2 ) + 9 = e 9 2 + 9 = e 2
Note that this only works when the exponents have the same base, as is the case here.

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