₦airaland Forum

chipretty48:
2^2x=8 2^2x=2x2x2 2^2x=2^3 when u cancel both 2 in the bracket, you have: 2x=3 divide both sides by 2 2x/2=3/2 x=3/2

chipretty48:
2^2x=8 2^2x=2x2x2 2^2x=2^3 when u cancel both 2 in the bracket, you have: 2x=3 divide both sides by 2 2x/2=3/2 x=3/2

Neyozak:
2raised to power 2x = 8x

crotonite:
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**modified***
since 2^2x = 8x
let x = 2.
2^(2*2) = 8*2.
2 ^ 4 = 16. ;which is true. simple as abc.

segedy:
2x = 8x
(2^3)x = 8x
Thus,
(2*2*2)x = 8x solved

Neyozak:
2raised to power 2x = 8x

Neyozak:
Gurus in the house, the question is correct. Sure d solution is 2. But convincing steps to the solution is what is required. Mathematician goodluck.

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

Neyozak:
2raised to power 2x = 8x

Neyozak:
U tried but Ur was not too convincing!

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

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 .
final ans , x=2
Danke.

Neyozak:
Tried but what function is y and a. No my tutor

flossy007:
2^ 2x = 8x

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

100^2x = 10^8x step correct

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

(2x)^2 = 8x step not correct ( here u are to equate powers to have 4x equals 8x)


4x^2 = 8x

X^2 = 2x

X = 2

Hope I got it