log4 2+log4 32 i equal to?

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

• option B
  
  log4(64)= 3
• 8 years agoHelpfull: Yes(13) No(0)
• apply log(ab) for each term
  then log4+log2+log4+log32
  2log2+log2+2log2+5log2 add these==>10log2=10*0.3=3 ans b)
  
• 8 years agoHelpfull: Yes(12) No(2)
• log4 2+log4 32->log4 2*32->log4 64->log4 4^3->3log4 4->3*1->3
  so the correct option is->b)3
• 8 years agoHelpfull: Yes(6) No(0)
• log 4 (2*32)=x
  log4 x=64
  log4 x=(4)^3
  so,x=3
  
• 8 years agoHelpfull: Yes(2) No(0)
• 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
• 8 years agoHelpfull: Yes(2) No(0)
• The base is 4.Not log 4 * log 2
• 8 years agoHelpfull: Yes(1) No(0)
• log4(2x32)=log4 64 logmn=logm+logn
  log4 4power3=3log4 4=3 logx X=1
  3x1=3.
• 8 years agoHelpfull: Yes(0) No(1)
• 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
• 8 years agoHelpfull: Yes(0) No(1)
• 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.
  
• 8 years agoHelpfull: Yes(0) No(0)
• log4 2=1/2
  log 4 32=5/2
  thus ans is 3.
• 8 years agoHelpfull: Yes(0) No(0)
• log4 2+log 4 32
  = log4 64
  =3
• 8 years agoHelpfull: Yes(0) No(0)
• log4 2 + log4 32= log4 64
  log4 64=log4 4^3
  3log4 4=3
• 8 years agoHelpfull: Yes(0) No(0)
• 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.
• 8 years agoHelpfull: Yes(0) No(1)
• log4 2+log4 32= log4 64
• 8 years agoHelpfull: Yes(0) No(0)
• log4 2 + log4 32=log4(32*2)=log4 64=3
• 8 years agoHelpfull: Yes(0) No(0)
• log4 2+log4 32=2log2+5/2(log2)=2+5/2=3
  
  
• 8 years agoHelpfull: Yes(0) No(0)
• 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
• 7 years agoHelpfull: Yes(0) No(0)
• log 4 [2 * 32]
  =log 4 [64]
  =log 4 [4^3]
  =3 ans
• 7 years agoHelpfull: Yes(0) No(0)