If [4^x]^4 = 4, then x^4 will be

KUMAR HARSH   10 years AGO

4^(x*4)=4
4*x=1
x=1/4
x^4=(1/4)^4=1/256=0.00039=0.004

Like? Yes (8) | No (1)  

CHAYAN KUMAR   10 years AGO

(4)^(4x)=4
x=1/4
so,(1/4)^4=0.004

Like? Yes (3) | No (1)  

aman   10 years AGO

(4^x)^4=4
4^x =4 ^1/4
x= 1/4

X^4 = 0.0039
Round off = 0.004

Like? Yes (2) | No   

NANGINEDI RAVITEJA   10 years AGO

x=0.25 so 0.25^4 =0.0039 = 0.004

Like? Yes (2) | No   

Parashuram s v   10 years AGO

4^(4x)=4
take log on both the sides
4xlog4=log4
4x=1
x=1/4
x^4=(1/4)^4=0.0039=0.004

Like? Yes (2) | No   

pawan kumar   10 years AGO

[4^X]^4= 4^4X=4
so, 4X=1
X=0.25

so, X^4=0.25^4=0.0039
=0.004

Like? Yes (2) | No   

sindhura   10 years AGO

4^4x=4 =>x=1/4 so 0.25^4 = 0.0039 =0.004

Like? Yes (1) | No   

GIRISH TYAGI   10 years AGO

[4^x]^4 = 4
4^x=4^(1/4)
then x = 1/4 and x^4 = 1/256=0.0039 = 0.004

Like? Yes (1) | No   

sompon temtheerakij   10 years AGO

[4^x]^4 = 4
[4^1/4]^4 = 4
x = 1/4
[1/4]^4 = 0.004

Like? Yes (1) | No   

Pranati Kundu   10 years AGO

4^4x=4^1
4x=1
x=1/4
x^4=0.0039
=0.004

Like? Yes (1) | No   

kumar chayan   10 years AGO

(4)^(4x)=4
which gives x=1/4
(1/4)^4=0.004

Like? Yes (1) | No   

Harish Reddy Namala   10 years AGO

4x =1
x = 0.25
x^4 = 0.004

Like? Yes (1) | No   

RAKESH   10 years AGO

x = 1/4 so, x 4 = 1/256 = .004

Like? Yes (1) | No   

RAHUL KUMAR   10 years AGO

[4^X]^4= 4 put x= 0.25
Then 0.25^4= 0.0039
So ans is 0.004

Like? Yes (1) | No   

ADERU CHENCHU NITHISH   10 years AGO

(4^x)^4=4
log(4^4x)=log4
4xlog4=log4
4x=1
x=0.25
so x^4=(0.25)^4=0.0039=0.004

Like? Yes (1) | No   

SHAHEEN   10 years AGO

[4^x]^4 = 4
4^(4x)=4
we can equate powers if bases are equal
=> 4x=1
x=1/4
x^(1/4)=0.00390625==0.004(appr.)
so the ans is option 4.

Like? Yes (2) | No (1)  

sravani   10 years AGO

4^4x=4
4x=1
x=1/4
x^4=1/256=0.003906=0.004

Like? Yes (1) | No   

sikander kumar   10 years AGO

X=.25
X^4=.00390625
AFTER ROUNDING
X=.004

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shareef   10 years AGO

we get x=1/4
so x^4 = 0.0039=0.004

Like? Yes (1) | No   

KARRI V V S B VAMSI KRISHNA REDDY   10 years AGO

[4^x]^4 = 4
4^4x = 4
as bases are equal power should be equal
4x = 1
x = 1/4
therefore X^4 = (1/4)^4 = 0.0039265 = 0.004

Like? Yes (1) | No   

Pragati Rode   10 years AGO

[4^x]^4 = 4
4^4x=4^1
4x=1
x=1/4
x^4=[1/4]^4=0.00390625 approx. 0.004

Like? Yes (1) | No   

AMIT KUMAR   10 years AGO

we can write 4^4x=4
taking log both side then
4x * log4 = log4
x=1/4
so, (1/4)^4= 0.00390~0.004

Like? Yes (1) | No   

Jeevitha   10 years AGO

4^4x=4 then x=1/4
So x^4~0.004

Like? Yes (1) | No   

preeti priya   10 years AGO

(4^x)^4=4
so 4^x=4^(1/4)
therefore, x=1/4
now(1/4)^4=0.00390

Like? Yes (1) | No   

Ravi Kumar Kodari   10 years AGO

Given, [4^x]^4 = 4
by solving this we get, 4x=1 so, x=1/4.

(1/4)^4=0.0039=~0.004 Ans.

Like? Yes (2) | No (1)  

Manish Kumar Gupta   10 years AGO

(4^x)^4=4
4^4x=4
4x=1
x=1/4=0.25
now
x^4=(0.25)^4=.00390625
=0.004

Like? Yes (1) | No   

Thirupathi Reddy   10 years AGO

x=.25
x^4=.004

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nitin kishore   10 years AGO

x=1/4

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Swathy Murugan   10 years AGO

x=1/4
(1/4)^4=0.004

Like? Yes (1) | No   

SUSHANT KUMAR   10 years AGO

[4^1/4]^4=4
so x=1/4
hence x^4=0.004

Like? Yes (1) | No