How do I solve for y? I know I should take logs but I don’t know how to proceed | Mathematics | Page 1

nocturne trout Apr 7, 2024, 2:04 PM

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wooden mulchBOT Apr 7, 2024, 2:04 PM

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nocturne trout

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last totem Apr 7, 2024, 2:05 PM

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nocturne trout

hint: You have a quadratic in $e^y$

delicate iceBOT Apr 7, 2024, 2:05 PM

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Omegabet_

nocturne trout Apr 7, 2024, 2:08 PM

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last totem hint: You have a quadratic in $e^y$

Thanks

hardy ravenBOT Apr 7, 2024, 2:08 PM

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@nocturne trout has given 1 rep to @last totem

nocturne trout Apr 7, 2024, 2:09 PM

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@last totem does the quadratic formula work if the coefficient of x^2 is negative?

last totem Apr 7, 2024, 2:09 PM

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you dont have an x^2

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but yes

nocturne trout Apr 7, 2024, 2:09 PM

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X^2 is just an example

last totem Apr 7, 2024, 2:09 PM

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obviously it does

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since the formula holds for any triple of (valid) coefficients

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the proof doesnt stipulate the coefficients must have certain properties, just that a isnt 0

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which.. duh lol

nocturne trout Apr 7, 2024, 2:10 PM

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Alright

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@last totem how do I proceed?

last totem Apr 7, 2024, 2:21 PM

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solve the quadratic

nocturne trout Apr 7, 2024, 2:23 PM

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last totem solve the quadratic

I got stuck here

last totem Apr 7, 2024, 2:23 PM

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yeah, you didnt solve correctly...

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$1-u(u-2)=x\to 1-u^2+2u=x\to u^2-2u+(x-1)=0$

delicate iceBOT Apr 7, 2024, 2:24 PM

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Omegabet_

last totem Apr 7, 2024, 2:24 PM

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as you should recall from high school... you need a quadratic = 0 to use the quad formula

trail grove Apr 7, 2024, 10:46 PM

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nocturne trout <@186109587366215691> how do I proceed?

you should be getting u = 2 plusminus root (4-4(x-1)) all over 2

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then u ln both sides

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and get y = ln(2 plusminus root (4-4(x-1))

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that should be the answer

trail grove Apr 7, 2024, 10:48 PM

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nocturne trout I got stuck here

no

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ur supposed to treat

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x as a constant

last totem Apr 7, 2024, 10:58 PM

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trail grove x as a constant

echoes arent needed

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especially... 8 hours after

#How do I solve for y? I know I should take logs but I don’t know how to proceed