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(#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 (9 years ago)

Solved rajapoornima Read Solution (18)

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Read Solution (18) :

rajapoornima  (9 years ago) Best Solution

option B

log4(64)= 3

Is this solution Helpfull? Yes (13) | No   

raghu  (9 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  (9 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  (9 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  (9 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

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Sriram  (9 years ago)

The base is 4.Not log 4 * log 2

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aazad  (9 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  (9 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

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rajeev  (9 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.

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ADITYA GUPTA  (9 years ago)

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

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chandan kumar  (9 years ago)

log4 2+log 4 32
= log4 64
=3

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Payal Chugh  (9 years ago)

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

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chila vinay kumar  (9 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.

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Kamlesh Kumar Choubey  (9 years ago)

log4 2+log4 32= log4 64

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Bablu patel  (9 years ago)

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

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vijay pratap yadav  (9 years ago)

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

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subhradeep ghosh  (8 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

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vishal  (8 years ago)

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

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