If log4 (x^2+x)- log4(x+1)=2 Find x.

• log base 4 (x^2+x)- log base 4 (x+1)=2
  log base 4 {(x^2+x)/(x+1)}=2 // log m - log n=log m/n
  log base 4 {x(x+1)/(x+1)}=2
  log base 4 {x}=2
  x =4^2=16...
• 12 years agoHelpfull: Yes(5) No(0)
• answer 100
  
  log( 4(x²+x)/4(x+1)) = 2
  
  x²+x/x+1 = 100
  
  X² +x = 100x +100
  
  x² - 99x -100=0
  
  (x-100)(x+1)=0
  
  x = 100 or -1
  
  x=-1 not possible. therefore x =100
• 12 years agoHelpfull: Yes(2) No(0)
• log[4(x^2+x)/4(x+1)] = log(100)
  x(x+1)/(x+1) = 100
  x = 100.
• 12 years agoHelpfull: Yes(2) No(0)