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UnkleRhaukus
 one year ago
\[100^x=0^+\]
UnkleRhaukus
 one year ago
\[100^x=0^+\]

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ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1\[100^x=0^+ ~~\iff~~x=\log_{100}0^{+}=\infty\]

UnkleRhaukus
 one year ago
Best ResponseYou've already chosen the best response.0\[x = \lim_{y\to\infty}y\]

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1i think we can avoid the limits by moving to extended reals

UnkleRhaukus
 one year ago
Best ResponseYou've already chosen the best response.0but \[100^x=0 \quad\implies\quad x=\infty\]

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1Nope, I see what you did there. identically equal to 0 and tens to 0 from positive side are two different things

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1At any rate below should be fine \[100^x= 0^{+}\quad\implies\quad x=\infty\] if \(0^{+}\) is defined as getting close to 0 from right hand side, but honestly i never worked wid these operators... so i think "+ on top right corner" operation needs to be defined first.

UnkleRhaukus
 one year ago
Best ResponseYou've already chosen the best response.0\[100^x= 0^{+}\quad\implies\quad x=\infty^+\]

ganeshie8
 one year ago
Best ResponseYou've already chosen the best response.1what does that even mean xD
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