What's the inverse of [eqn]y=2^{2x}\cdot5^{2x+2}-10^{x+1}

>>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.