/sci/ - Science & Math » Thread #9883646

9KiB, 1182x397, sqrt x.png

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Anonymous Sat 21 Jul 17:09:58 2018 No.9883646 View Reply Original Report

Quoted By: >>9884061 >>9884074

since we know that sqrt(x) can be written as:

sqrt(x) = e^(ln(x)/2)

and

sqrt(x) = 10^(log(x)/2)

does it follow that

sqrt(x) = n^(log_n(x)/2)???

Anonymous

View Same Google iqdb SauceNAO latex tutorial.png, 243KiB, 3600x1300

Anonymous Sat 21 Jul 2018 17:13:58 No.9883654 Report

Quoted By: >>9883673 >>9883697

Anonymous

Anonymous Sat 21 Jul 2018 17:25:46 No.9883673 Report

Quoted By:

>>9883654
okey mom

Anonymous

Anonymous Sat 21 Jul 2018 17:40:01 No.9883697 Report

Quoted By: >>9883823

>>9883654
it doesn't work.
$\mathbb{S} \mathbb{E} \mathbb{E}$

Anonymous

Anonymous Sat 21 Jul 2018 18:38:01 No.9883823 Report

Quoted By: >>9884051

>>9883697
$ \begin{align*} ax^2 + bx +c &= 0 \\ ax^2 + bx &= -c \; \; \; \; | \; \cdot 4a \\ 4a^2x^2 + 4abx &= -4ac \; \; \; \; | \; +b^2 \\ 4a^2x^2 + 4abx +b^2 &= b^2 -4ac \\ (2ax + b)^2 &= b^2 -4ac \\ 2ax + b &= \pm \sqrt{b^2 - 4ac} \\ 2ax &= -b \pm \sqrt{b^2 - 4ac} \\ \displaystyle x &= \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \end{align*} $

Anonymous

Anonymous Sat 21 Jul 2018 18:41:06 No.9883835 Report

Quoted By:

$\displaystyle \sum_{n=0}^{\infty} a_n x^n = A(x) \\ \sum_{n=0}^{\infty} a(n) x^n = A(x) \\ a(n) \sim \! \sim \! \sim \! \! \! > A(x) \\ a(n) = 1 \sim \! \sim \! \sim \! \! \! > \frac{1}{1-x} \: \: \, ,\: \: \: \left | x \right | < 1 \\ a(n) = \frac{1}{n!} \sim \! \sim \! \sim \! \! \! > e^x \\ \text{continuous analog:} \\ \int_{0}^{\infty} a(t) x^t dt = A(x) \: \: \, ,\: \: \: 0 < x < 1 \Rightarrow ln(x) < 0 \\ x^t = \left ( e^{ln(x)} \right )^t \: \: \, ,\: \: \: -s = ln(x) \Rightarrow x = e^{-s} \\ \int_{0}^{\infty} f(t) e^{-st} dt = F(s) \\ \text{ <a href="https://youtu.be/sZ2qulI6GEk?t=1m5s" target="_blank">https://youtu.be/sZ2qulI6GEk?t=1m5s</a> } $

Anonymous

Anonymous Sat 21 Jul 2018 18:44:42 No.9883840 Report

Quoted By: >>9884051

Anonymous

Anonymous Sat 21 Jul 2018 20:10:55 No.9884051 Report

Quoted By:

>>9883823
>>9883840
it doesn't help

Anonymous

Anonymous Sat 21 Jul 2018 20:15:22 No.9884061 Report

Quoted By:

>>9883646
yes for n not equal to 0 or 1

Anonymous

Anonymous Sat 21 Jul 2018 20:19:13 No.9884074 Report

Quoted By:

>>9883646
Do you understand log properties? Like, do you understand WHY sqrt(x) = e^(lnx / 2)? Do you also know that (a^b)^c = a^(b*c)?

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