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Why is my derivation of half life (t½) not correct?

I tried to derive the given equation for half-life via the equation for radioactive decay, and I can't see why it doesn't seem to work. Any help is appreciated!

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it is the same thing

ln(1/2) = ln 1 - ln 2 = -ln 2

ln(1/2)λ=ln2λ=ln2λ \dfrac{ln(1/2)}{- \lambda} = \dfrac{-ln2 }{ - \lambda} = \dfrac{ln 2 }{ \lambda}
Reply 2
Original post by BobbJo
it is the same thing

ln(1/2) = ln 1 - ln 2 = -ln 2

ln(1/2)λ=ln2λ=ln2λ \dfrac{ln(1/2)}{- \lambda} = \dfrac{-ln2 }{ - \lambda} = \dfrac{ln 2 }{ \lambda}

Welp, that explains it. thank you!

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