2e^2x-5e^x-3=0

Blgohgifjpjvh:(

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25-11-2016
Mathematics

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2e^2x-5e^x-3=0

Blgohgifjpjvh:(

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apologiabiology apologiabiology · Answer 1 · 2016-11-25T22:54:33-05:00

apologiabiology apologiabiology

25-11-2016

solve for x
I just leraned this last spring and I finally get to use it
so what you do is like dis

remember we can solve ax^2+bx+c=0
get it into that form
sub u for e^x
2u^2-5u-3=0
solve for u
factor
(u-3)(2u+1)=0

set to zero
u-3=0
u=3

2u+1=0
2u=-1
u=-1/2

now
u=e^x so

e^x=3 and e^x=-1/2
e^x=-1/2 is not a valid solution because a^b will never be negative

e^x=3
take the ln of both sides
x=ln3

the solutiion is
x=ln3

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2e^2x-5e^x-3=0Blgohgifjpjvh:(

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2e^2x-5e^x-3=0

Blgohgifjpjvh:(