How do i solve this equation of e? The problem is to solve for x in e <mrow class="MJX

Aaden Booth

Aaden Booth

Answered question

2022-06-03

How do i solve this equation of e?
The problem is to solve for x in
e 2 x + 2 e x 15 = 0
the book's answer is x = ln ( 3 )
can anyone show how they got this answer? thanks!

Answer & Explanation

atoandro8f04v

atoandro8f04v

Beginner2022-06-04Added 7 answers

let y = e x we have
y 2 + 2 y 15 = 0
then y = 5 or y = 3. then get rid of y = e x = 5
we have
e x = 3
x = ln 3

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