What's the inverse of [eqn]y=2^{2x}\cdot5^{2x+2}-10^{x+1}
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What's the inverse of
[eqn]y=2^{2x}\cdot5^{2x+2}-10^{x+1}+1[/eqn]
?
>pic unrelated
>>8148747
1/y=(1/22x⋅52x+2−10x+1+1)
You're welcome.
>>8148756
By inverse I mean the inverse function, like turning [math]y=2x+3[/math] into [math]x=\frac{y-3}{2}[/math]
>>8148747
x = log10((sqrt(y)+1)/5)
where log10 is the base 10 log.
>>8148783
this comes from the right side of OP's equation is equal to
(5*10^x-1)^2
>>8148747
x+3^3+xxx , thank me after the exams kiddo
>>8148795
I finished my exams weeks ago, this is just a hobby. I'm trying to find a magic square of square numbers. And this function helps me.
>>8148800
protip: no such square exists
>>8148806
>magic square of square numbers
I thought it was an open question? This was posted on /sci/ a while back
http://mathpages.com/home/kmath417.htm
>>8148747
what's cdot?
>>8148806
>protip: no such square exists
bullshit. for a big enough square, one exists. this is day one of design theory metatheorem dude.
>>8149218
I think he means simple multiplication.