Latest CTS Aptitude Question SOLUTION: log4 2+log4 32 i equal to? a)2 b)3 c)4 d)5

• Placement Papers
• /
• CTS
• /
• undefined

CTS Question Papers: CTS Interview Experience(3) CTS Company Profile

(#M40153564) CTS question Logarithm Keep an EYE

log4 2+log4 32 i equal to?

a)2
b)3
c)4
d)5

Asked In CTS Sriram (8 years ago)

Solved rajapoornima Read Solution (18)

Is this Puzzle helpful?   (120)   (40) Submit Your Solution undefined

Read Solution (18) :

rajapoornima  (8 years ago) Best Solution

option B

log4(64)= 3

Is this solution Helpfull? Yes (13) | No   

raghu  (8 years ago)

apply log(ab) for each term
then log4+log2+log4+log32
2log2+log2+2log2+5log2 add these==>10log2=10*0.3=3 ans b)

Is this solution Helpfull? Yes (12) | No (2)  

Mayur jaiswal  (8 years ago)

log4 2+log4 32->log4 2*32->log4 64->log4 4^3->3log4 4->3*1->3
so the correct option is->b)3

Is this solution Helpfull? Yes (6) | No   

minku  (8 years ago)

log 4 (2*32)=x
log4 x=64
log4 x=(4)^3
so,x=3

Is this solution Helpfull? Yes (2) | No   

Rusty Cake  (8 years ago)

log a^b c^d = (d/b)log a c
Similarly,
log 4 2 = log 2^2 2^1 = (1/2)log 2 2 = 1/2
log 4 32 = log 2^2 2^5 = (5/2)log 2 2 = 5/2
1/2 + 5/2 = 3

Is this solution Helpfull? Yes (2) | No   

Sriram  (8 years ago)

The base is 4.Not log 4 * log 2

Is this solution Helpfull? Yes (1) | No   

aazad  (8 years ago)

log4(2x32)=log4 64 logmn=logm+logn
log4 4power3=3log4 4=3 logx X=1
3x1=3.

Is this solution Helpfull? Yes | No (1)  

sachin  (8 years ago)

log 4 2 can be written as log2/log 4 using the base changing formula
so log 2/log4 + log 32/log 4 = log 2 * 32/log 4 = log 64/log 4 =3

Is this solution Helpfull? Yes | No (1)  

rajeev  (8 years ago)

answer:b
question is log 2 to base 4 and log 32 to base 4.
firstly ::: log 2 to base 4 can be as:: log 2 to base 2/log 4 to base 2 which euqal to 0.5
secondly:: log 32 to base 4 can be written as::: log 32 to base 2/log 4 to base 2 which euqal to 2.5
summing these we get 3.

Is this solution Helpfull? Yes | No   

ADITYA GUPTA  (8 years ago)

log4 2=1/2
log 4 32=5/2
thus ans is 3.

Is this solution Helpfull? Yes | No   

chandan kumar  (8 years ago)

log4 2+log 4 32
= log4 64
=3

Is this solution Helpfull? Yes | No   

Payal Chugh  (8 years ago)

log4 2 + log4 32= log4 64
log4 64=log4 4^3
3log4 4=3

Is this solution Helpfull? Yes | No   

chila vinay kumar  (8 years ago)

FORMULA : log a(b) = c => a^c = b ('a' is the base ) , there fore => log 4(2) + log 4 (32)= log 4(32*2)= log 4(64) ( '4' is base ) , b^4=64 => b^4= 4^3 => b =3.

Is this solution Helpfull? Yes | No (1)  

Kamlesh Kumar Choubey  (8 years ago)

log4 2+log4 32= log4 64

Is this solution Helpfull? Yes | No   

Bablu patel  (8 years ago)

log4 2 + log4 32=log4(32*2)=log4 64=3

Is this solution Helpfull? Yes | No   

vijay pratap yadav  (8 years ago)

log4 2+log4 32=2log2+5/2(log2)=2+5/2=3

Is this solution Helpfull? Yes | No   

subhradeep ghosh  (7 years ago)

answer is 3, because 2=4^1/2,32=4^2.5,.5log 4 base 4+ 2.5 log 4 base 4=3 log 4 base 4=3

Is this solution Helpfull? Yes | No   

vishal  (7 years ago)

log 4 [2 * 32]
=log 4 [64]
=log 4 [4^3]
=3 ans

Is this solution Helpfull? Yes | No   

Please Login to Read Solution.