#logarithmic

27 messages · Page 1 of 1 (latest)

pine granite
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Is this correct?

IMG_20240817_105347_722.jpg
deft yewBOT
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worthy dagger
pine granite
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Yes i can

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But base negative?

worthy dagger
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it usually results in complex outputs but yea it could be negative

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i mean for integers it works fine, for all reals it gets messy

pine granite
worthy dagger
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the problem is when you’re doing like
through basic definition we want the base a raised to some power to be equal to b
so if a is negative and as long as c is like an integer we don’t get confused on if it’s positive or negative or whatever

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i actually dunno how they define that

pine granite
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,w log_(1/3) 81

teal hearthBOT
pine granite
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,w log_(-1/3)81

teal hearthBOT
pine granite
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@worthy dagger

kind flower
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(-1/3)^x = 81

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(-3)^-x = 3^4

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now times both sides by (-3)^x

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(-3)^-x * (-3)^x = 3^4 * (-3)^x

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oh

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I don't think this works

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I guess you can consider different cases where x is odd, even and a fraction

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and verify your solution

pine granite
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@clever coral

pine granite
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+close