₦airaland Forum

onstelly: KARMA go visit soon visit that your friend

onstelly: KARMA go visit soon visit that your friend

Dygeasy: Oga na Nairaland we dey. No be my career or job or business.

No be today dem girls dey mess things like this up. I'm honestly not bothered. When last did you see me on the thread?

actYourDreams: Your problem was not well-defined. Math is a concise language so when posing a math problem you need to be precise.

By saying "prove that x = 2", I will assume that your solution has to be a natural number. Hence, my following approach is based on the assumption that x must be a natural number.

Observe that 4^x = 2^(2x) and 5^x = (3+2)^x. Therefore your problem can be written as
2^(2x)+ 3^x=(3+2)^x.

Then apply binomial expansion to (3+2)^x, i.e.
(3+2)^x = 3^x + 2x3^(x-1) + (x(x-1))/2 * 3^(x-2)2^2 + ... + x*3*2^(x-1) + 2^x.

Therefore the question becomes

2^(2x) = 2x3^(x-1) + (x(x-1))/2 * 3^(x-2)2^2 + ... + x*3*2^(x-1) + 2^x, since the 3^x on both sides cancel out.

Then it easily follows that for the previous equality to hold x must be 2 or use mathematical induction to show that.

If NL had Latex capability I might have clarified further. However, Ihope my approach was clear enough.

rhydex247: i revere to u all to d maths general in dis house. i've missed so much here but all is well sha. i will nid to seat down nd review all wat i av missed . i still remain my humble name as rhydex247
soln.

let y=x^x^x.
which implies y=x^(x^x)
recall dat y=x^x
log bth sides we av
lny=lnx^x.... lny=xlnx....
d/dy(lny)=lnx+1
1/y(dy/dx)=(lnx+1)
dy/dx=y(lnx+1) buh y=x^x
dy/dx=x^x(lnx+1).
now dat we knw dy/dx of y=x^x we
can easily get y=x^(x^x)
log both sides we av
lny=lnx^(x^x)
lny=x^xlnx
d/dy(lny)=vdu/dx+udv/dx where
my u=x nd v=x^x.
dy/dx(1/y)=x^x(1)+x(x^x(lnx+1))
dy/dx=y[x^x+x(x^x( lnx+1))]
recall dat y=x^x^x
finally we have
dy/dx=x^x^x[x^x+x(x^x(lnx+1))]

beatsbyj2g: have tried using log it didn't work wat else na

thankyouJesus: Use graphical method of solving equation

jaryeh: I solved this question sometime ago on Nairaland Maths Clinic thread. Check there or check my previous posts.

beatsbyj2g: guy stop messing with mathematics normally 3^2+4^2 is not = 5^2 which is 25


But any if u have d answer show me how u solved it

AfricanApple: nobody o

chibwike: how are u sure, dats a female.

adrianstylez: After looking at ya dp... You "ned" therapy!

emperorchedda: wrong bro. It will make sense the moment the first girl drops her line. Its gonna be fun watching from here and taking note of famous lines. I tip MizMyColi to win this though, lady is creative

kilokeys: taaa.. *runs off to doctor, seals off butthole permanently*

would rather take a shit through my nostrils than take anything up there

Dygeasy: Still wouldn't make me not ask you to bounce off Zuma rock.

BlackStallion: Bye-bye Mr. bouncer
You might've been lucky to get mentioned oo. I will not miss my blessing IJN!

Dygeasy: abeg you fit bounce off third mainland bridge? Or river Niger bridge? You fit bounce eter lagoon too.

BlackStallion: I'm going to change my moniker to John_Woo, hope you ladies can take a hint?
If not, na to create new female profile woo myself oo. No time, I'm kuku the only cockroach in my cupboard anyway

fnep2smooth: SMH
**** op ... all this just to get a girl attention ****
some people are born loser

fnep2smooth: SMH
**** op ... all this just to get a girl attention ****
some people are born loser

AfricanApple: I don't know why they are allowing all this woman wrapper association members roam freely on NL like dis o

Logicalmindy: True. I wonder o.
most na guys wey nur gree woo girls sef in ladies edition.
Me dey obeserve

fizzyf4: their dp is dope
1.)www.nairaland.com/djeezy
2.)www.nairaland.com/naijaboiy
3.)www.nairaland.com/logicalmindy
4.)www.nairaland.com/folarinwazzy
5.)www.nairaland.com/valmunich
6.)www.nairaland.com/benromeo39


chicks:
1.)www.nairaland.com/marieolae
2.)www.nairaland.com/sarimah
3.)www.nairaland.com/temigracie
4.)www.nairaland.com/dechandel
5.)www.nairaland.com/legendarysage
6.)www.nairaland.com/farano
7.)www.nairaland.com/mizmycoli