Latest Elitmus Aptitude Question SOLUTION: log(a(a(a)^1/4)^1/4)^1/4 here base is a. option:- a)0 b)1 c)3^0.25 d)None of these

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(#M40157232) ELITMUS Numerical Ability question Logarithm Keep an EYE

log(a(a(a)^1/4)^1/4)^1/4 here base is a.
option:-
a)0
b)1
c)3^0.25
d)None of these

Asked In Elitmus MOHAMMAD SHAHZADA ANSARI (7 years ago)

Unsolved Read Solution (5)

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Read Solution (5) :

Prakhar Mathur  (7 years ago)

log(a(a(a^1/4)^1/4)^1/4
=> log(a(a^1+1/4)^1/4)^1/4
=> log(a(a^5/4)^1/4)^1/4
=>log(a(a^5/16)^1/4
=>log(a^1+5/16)^1/4
=>log(a^21/16)^1/4
=>log(a^21/64)
=>21/64 log(a)
=>21/64

Is this solution Helpfull? Yes (31) | No (1)  

ankit raj  (7 years ago)

log (a (a(a)^1/4)^1/4)^1/4
=log(a(a(a^1/4)^1/4)^1/4
=1/4[log a{a(a^1/4)]^1/4
=1/4[log a{a^1*a^1/4}]^1/4
=1/4[log a +log( a^5/4)^1/4]
=1/4[log a +log a^5/16]
=1/4[log a+5/16 log a] ,,,,,,,,base is"a",so value of log a=1
=1/4[ 1 + 5/16]
=1/4[21/16]
=21/64

Is this solution Helpfull? Yes (14) | No   

Devendra Nagar  (7 years ago)

Ans. is (c)
this equal to 1/4log(a)+log(a(a)^1/4)^1/4 .
1/4+1/4+1/4= 3/4.

Is this solution Helpfull? Yes (1) | No (11)  

shivangini verma  (7 years ago)

3/4 is the correct answer
as value of √x√x√x......√x=x^((2-1)/2).
therefore here root is of 1/4
hence a^((4-1)/4)
thatswhy log a^(3/4)=3/4(base is a, hence log a base a=1)

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Soumya Priyadarsini  (7 years ago)

log(a(a(a)^1/4)^1/4)^1/4base a
=(1/4)[log(a(a(a)^1/4)^1/4]base a
=(1/4)(1/4)[log(a^2*(a)^1/4]base a
=(1/4)(1/4)(1/4)[log(a^3)] base a
=[3(1/4)(1/4)(1/4)][loga base a]
=3/64=
ans

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