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File: 1787000313047a.png πŸ“₯︎ (212.15 KB, 720x651) ImgOps

 β„–4083124[Quote]

x + y = log_x(y)
What are x and y

 β„–4083130[Quote]

y = mx+b

 β„–4083134[Quote]

okay, let's start with x = 1 and y = 1

 β„–4083145[Quote]

>>4083134
This won't suffice

 β„–4083146[Quote]

File: Copperhead aka Peace Democ….PNG πŸ“₯︎ (1.22 MB, 1220x2174) ImgOps

>>4083124 (OP)
1/2 for both

 β„–4083148[Quote]

x^(x + y) = y

 β„–4083149[Quote]

>>4083134
X and Y are different numbers you stupid nigger

 β„–4083154[Quote]

>>4083146
Correct.
There's also
x = -1
y = 1

 β„–4083157[Quote]

>>4083149
Not required.

 β„–4083165[Quote]

tricky, huh

 β„–4083167[Quote]

>>4083124 (OP)
Infinite solutions.

 β„–4083174[Quote]

>>4083167
Name one then.

 β„–4083188[Quote]

>>4083174
What values for x and y do you allow?

 β„–4083191[Quote]

File: NWO.PNG πŸ“₯︎ (212.94 KB, 1593x1664) ImgOps

>>4083154
>There's also
>x = -1
>y = 1
A logarithm can't have a negative base unless you expand the domain to allow for complex numbers though.

 β„–4083192[Quote]

>>4083188
any that suffice x + y = log_x(y) or x^(x + y) = y

 β„–4083194[Quote]

>>4083154
Invalid log_(-1) is not a well defined function.

 β„–4083197[Quote]

>>4083191
We can work with complex numbers

 β„–4083199[Quote]

>>4083192
Do you allow y to be complex that is what I am asking.

 β„–4083200[Quote]

File: White Pride.PNG πŸ“₯︎ (187.16 KB, 1393x1904) ImgOps

>>4083197
Well I know that now :/

 β„–4083201[Quote]

>>4083199
why not

 β„–4083208[Quote]

>>4083201
Okay, otherwise I do not know if there are infinite solutions, but log_x is a periodic function on C so if you have one solution you can rotate by 2*pi*i

 β„–4083224[Quote]

File: Oekaki.png πŸ“₯︎ (32.13 KB, 480x480) ImgOps

I'll do it in Oekaki because it's easier, did I follow or was I retarded?

 β„–4083231[Quote]

x+y = log_x(y)
Setting x = e we can get:
(e^y)/y= e^e.
This definitely will have a solution I am sure. But it is unlikely that you will be able to calculate the exact value.

 β„–4083234[Quote]

>>4083224
Son I am cryin.

 β„–4083240[Quote]

File: 1740170844807y.png πŸ“₯︎ (26.59 KB, 255x133) ImgOps

>>4083234
Just put it bluntly

 β„–4083245[Quote]

>>4083240
Do you even know what log means?

 β„–4083247[Quote]

Btw I checked with a graph calulator. It showed to solutions. One around 4. something, I am very sure there is no closed form.

 β„–4083250[Quote]

>>4083245
It's an incognito exponent right? log (Ie: Exponent) of X base which equals Y, right??

 β„–4083252[Quote]

Wait I got it.

 β„–4083254[Quote]

>>4083124 (OP)
Nigger at least give X or y.
How any one spouse to get it? this lie asking if x+y=xy*3

 β„–4083261[Quote]

>>4083250
No log solves the equation:
e^x = 4
for example, so log_x(y) is to say
x^(x+y) =y

 β„–4083264[Quote]

>>4083252
You can solve via the lambert W function.

 β„–4083267[Quote]

A solution where both numbers are complex / imaginary

x = i
y = z - i

Where i^z = z - i

 β„–4083274[Quote]

>>4083267
Which is not solveable I think

 β„–4083275[Quote]

>>4083267
This is not true.

 β„–4083282[Quote]

log to base i is not defined. x has to be real no matter what, y can be anything.

 β„–4083286[Quote]

>>4083282
Interestinng.

 β„–4083296[Quote]

>>4083261
Ohhhhh, only log equals x+y? I think I misunderstood because of text formating.

 β„–4083298[Quote]

Is that what the underline is for?

 β„–4083304[Quote]

>>4083286
The only chance I see is probably some lambert W trickery, but again that would not be a closed solution. Btw x=2.71…=e and y =4.1… solves your question.

 β„–4083305[Quote]

>>4083296
Think of log_x(y) as a function that returns such number z, that x^z = y, defined only across real numbers apparently.

 β„–4083318[Quote]

>>4083305
And Z = X+Y?

 β„–4083320[Quote]

>>4083305
The reason x can only be a positive real number is because you want it to be a continous function.

 β„–4083321[Quote]

>>4083318
yes, in this case.

 β„–4083322[Quote]

>>4083321
HOLY SHIT I UNDERSTAND IT

 β„–4083330[Quote]

>>4083320
It's reasonable.



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