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Mathematics 10 Online
OpenStudy (anonymous):

how would you solve his medal and fan pls help

OpenStudy (anonymous):

|dw:1417602303555:dw|

OpenStudy (jhannybean):

Would you perhaps write the equation out once again? I do not understand what you are trying to draw..

OpenStudy (anonymous):

\[x^x=100\]

OpenStudy (anonymous):

jhanny bean i am going to solve this before you do!!

OpenStudy (anonymous):

wait how you even do this

OpenStudy (jhannybean):

Log functions.

OpenStudy (anonymous):

oh it is 10!

OpenStudy (anonymous):

Nope..

OpenStudy (anonymous):

\[10^{10} \ne 100\]

OpenStudy (anonymous):

oh man

OpenStudy (anonymous):

google said it is 2

OpenStudy (anonymous):

Answer is not an integer I think..

OpenStudy (jhannybean):

Does the problem say \[10^x = 100\]\[x^x = 100\] Which one?

OpenStudy (anonymous):

it said to use a calculator to solve and correct to 3 s.f

OpenStudy (anonymous):

of course the harder one

OpenStudy (jhannybean):

That's great, but we can't even make out what your question says. How can we help you...

OpenStudy (anonymous):

:P

OpenStudy (anonymous):

Beans, you are thinking too much..

OpenStudy (anonymous):

It is : \(x^x = 100\)..

OpenStudy (anonymous):

Sure.. :)

OpenStudy (anonymous):

so how do you solve it?

OpenStudy (anonymous):

Try this : \(x = 3.597285024\)

OpenStudy (anonymous):

@ganeshie8

OpenStudy (anonymous):

i know the answer but i cant get the steps explain the steps pls~

OpenStudy (anonymous):

Have you done Newton Raphson Method?

OpenStudy (anonymous):

no idea

OpenStudy (anonymous):

Then we have to do it from other method.. And I have no Idea, but for newton raphson, how to do this is given in this link: http://mathforum.org/library/drmath/view/53045.html

OpenStudy (anonymous):

@perl

OpenStudy (anonymous):

oh thnx i got it

OpenStudy (jhannybean):

@inkyvoyd

ganeshie8 (ganeshie8):

familiar with product log function @beomsu.c.59131 ?

OpenStudy (perl):

you can graph y = x^x , and y = 100 , and find their intersection

OpenStudy (perl):

also you can newton-raphson it

ganeshie8 (ganeshie8):

its also called lambert w function

OpenStudy (anonymous):

sure but i cant get the exact answer

OpenStudy (anonymous):

so is the answer 10^10 = 100?

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

Nope..

OpenStudy (anonymous):

no

OpenStudy (perl):

@Kittens4Mittens 10^10 = 1 000 000 000 0

OpenStudy (anonymous):

\(10^{10}\) means to multiply \(10\), \(10\) times..

OpenStudy (anonymous):

then 10^2

OpenStudy (perl):

you need the same number twice a^a = 100

OpenStudy (anonymous):

But x can't take two different values..

OpenStudy (anonymous):

oh man is there even answer?

OpenStudy (anonymous):

yes, luckily there is..

OpenStudy (perl):

x = 3.597285

OpenStudy (anonymous):

so we answer this in radical form?

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