₦airaland Forum

Neyozak:
Believe me without any sentiment the guy got it. That problem is just to exercise the brain to think out of box. Am was quite sure dat somebody will get d steps but am supprised that the solution steps came earlier than expected. I though it may probably take us few days to av it done. U see what dat guy did was just logical manipulation which satisfied the mathematical statement or equation. Test his manipulation for x equal to 2. U will see it is defined. On my own marking guide I divided by 8 with virtually similar steps. Let me shock u, at times we add zero to equation to be solved e.g +1-1,et.c All the same thanks.

prideofscience:
This ans is almost perfect so op no ojoro

Via numerical method (The Lambert W function to be precise)
There are two solutions to this equation:
x=0.154953, x=2.

onlynaija:
My Solution

Neyozak:
So far so good, this is the best approach. Invitation loading.

darium:
2~2x = 8x
Take log of both sides
Log 2~2x =log 8x
2xlog2 = log8 + log x
2xlog2 = 3log2 + log x
2xlog2 - 3log2 = log x
Log2(2x-3) = log x
Take anti-log of both sides


2(2x-3) = x


WRONG TAKE THE ANTI LOG YOU WILL GET
2^(2X-3)=X


4x - 6 = x
4x - x = 6
3x = 6
X = 2

ZACHIE:
Yes.
Final amswer++++
OBATALA approved it

Adehorze:
2^2x=8x
Taking log of both sides,
Log2^2x=Log8x
2xLog2=Log8+Logx
2xLog2=Log2^3+Logx
2xLog2=3Log2+Logx
2xLog2-3Log2=Logx
(2x-3)Log2=Logx
Equating d log of both sides,
>>



[[[[[[[[[[[(2x-3)2=x]]]]]]]]]]
THIS IS WRONG IF YOU TAKE THE e OF BOTH SIDES OR LOG AS YOU SAID
THIS IS HOW OUR WILL BE
2^(2x-3)=x



4x-6=x
4x-x=6
3x=6
Dividing both sides by 3
3x/3=6/3
x=2

Hausa:
Just got the answer
2^2x=8x
2^2(x)=8x
4^x=8x........eqn(1)
2^2x=8x
2^2x=(2^3)x
Divide both sides by 2^3
x=2^(2x-3)........eqn(2)
Substitute 2^2(2x-3) for x in eqn(1)
4^(2^(2x-3))=8(2^(2x-3))
16^(2x-3)=2^3(2^(2x-3))
2^4(2x-3)=2^3(2^(2x-3))
2^4(2x-3)=2^3(2^2x)/2^3
2^4(2x-3)=2^2x
Equate the powers of 2 on both sides
4(2x-3)=2x
8x-12=2x
-12=2x-8x
-12=-6x
x=2

chiv:
Just got the answer
2^2x=8x
2^2(x)=8x
4^x=8x........eqn(1)
2^2x=8x
2^2x=(2^3)x
Divide both sides by 2^3
x=2^(2x-3)........eqn(2)
[[[[[[[[Substitute 2^2(2x-3) for x in eqn(1)]]]]]]]]]
THE ENCLOSED SUBSTITUTE IS WRONG
YOU ARE SUPPOSED TO SUBSTITUTE
2^(2X-3)
BUT HE SUBSTITUTED 2^2(2X-3) WHICH IS WRONG.


4^(2^(2x-3))=8(2^(2x-3))
16^(2x-3)=2^3(2^(2x-3))
2^4(2x-3)=2^3(2^(2x-3))
2^4(2x-3)=2^3(2^2x)/2^3

2^4(2x-3)=2^2x
Equate the powers of 2 on both sides
4(2x-3)=2x
8x-12=2x
-12=2x-8x
-12=-6x
x=2

Hausa:
The OP said that chiv seemed to be the only one that got the answer correctly.
I was thinking of using his solution as a guide. What method did the chiv guy use?

Also, your working is on a screenshotted paper. It'd have made more sense if you worked it like others directly.
Also, the original question, is it logarithm or indices?

Geophilip:
the person that asked the question didn't categorically say which method we are excepted to use, by the way I planned used any of the approximate method
Newton Raphson
Runge Kutta
or
do
trial methods
as far as the answer is correct and prove to be correct issues no de

macjurek:
2^2x=8x --->
Solution
2^2x=2^3x
NOTE THE X IS NOT A POWER ON THE LEFT HAND SIDE YOU AUTOMATICALLY TURNED IT YO A POWER THATS WERE YOU FAILED IT
2x=3x
Divide both sides by 2 or Divide both sides by 3
x= 3/2 or x =2/3

Thanks

Geophilip:
speak for yourself, I can solve it, if he promise to reward me,
note: I didn't study mathematics.

Geophilip:
speak for yourself, I can solve it, if he promise to reward me,
note: I didn't study mathematics.

Hausa:
Wow. Interesting. I don't even know how I stumbled upon this, lol.
Please, for the fun of it, I would love to share this question to some of my whatsapp groups, and reward them for answering with complete steps.
Me, I no sabi maths o, but just a way to while away time in the covid-19 lockdown. I really think this would be fun.

Now, it is already established that the answer = 2.
But which of these people got it right and got the workings correctly?
I no wan make person start dey ask me question wey I no go fit answer.
Also, which set of school-level can answer this, and how much in airtime should the minimum reward be?
I no wan make person give me the answer in two minutes, lol. Make dem sweat small.

Thanks.

Cc:
Mrshape
Neyozak

Jeweltz:
OMG. So Martinez39 is a savvy mathematician. No wonder the dude is smart. Think I have online crush on him only if he promise to drop red pill and start [worshiping/b] us as the real queen that we are

emperorBiggie:
7

whemmytopsy:
Teach us now, which one is try again, will you give us money ni??

GYBABA:
Well lemme clear your clogged up skull. I wasn't referring to contact or contract part. I knew it was a mistake even before opening the thread. It's definitely "contract" so your argument of schooling me is really dumb. I blast you particularly because of the fact that you aired your opinion like someone who believed there's no Coronavirus in this world & that no one is really dying anywhere in the world due to this raving pandemic. You commented like an ignorant buffon. Are you blind to what's going on in the world at all. Lemme burst your bubble then. Coronavirus is real & people are dying of it in many countries but due to the fact that you're blind you won't notice. Well as I said you're dense! Very very dense!

whemmytopsy:
1.5cm + 4cm + 3cm = 8.5cm, I stand to be corrected though.

Goalnaldo:
I would like to see your answer.

raydboi:
AB = 1.5cm + 2cm + 3cm = 6.5cm

INCREDIBLEGUY:
2^ 2x = 8x
Log100 ^2x = 8x ( 1*1=11+2+2 =22+1000000+10000000000 =2223556777777777777

Softhands:
2^2x =8x..
take the equation and make it equal to zero
2^2x-8x=0
introduce differentiation,
dy/da ( 2^2x-8x)
4x^(2x-1) - 8 =0
4x^(2x-1)=8
2 X 2^ (2x-1) = 2^3
2x-1=3
2x=3 +1; 2x=4,
x=4/2= 2
Wrong

final ans , x=2

Danke.

Alvanify:
2x^2=8x
soln
divide thru by x
2x^2/x=8x/x
therefore, 2x=8
x=4ans

dejt4u:
2^2x=8x,

2^2x=2^3(x),

(2^2x) / (2^3) = x,

2^(2x-3)=x,

2^(2x-3)/4^(2x-3)=x/4^(2x-3),

(1/2)^(2x-3)=x*(1/4)^(2x-3),

(0.5)^(2x-3)=x*(0.25)^(2x-3),

(1-0.5)^(2x-3)=x*(1-0.75)^(2x-3),

by binomial approx.

1-(2x-3)*0.5...=

x*[1-(2x-3)*0.75+...]

re-arrangin gives;

1-x+3/2=x-3x/4*(2x-3) = 4-4x+6=4x-6x^2+9x

or

6x^2-17x+6=0,

x=2.4 or - 0.42

Reference to laplacian of nairaland maths clinic

clementnoble22:
Guy recheck ur question... I think this question is wrong.
2^2x=8x ---> Wrong
2^2x=8---> Right
Solution
2^2x=2^3
2x=3
x= 3/2

flossy007:
2^ 2x = 8x

Log100 ^2x = 8x ( log to base 10)

100^2x = 10^8x

(10^2) ^ 2x = 10^8x

(2x)^2 = 8x

4x^2 = 8x

X^2 = 2x

X = 2

Hope I got it

BetterPoison:
it's 40°