Simplify :(log 75/16-2 log 5/9+log 32/243)

• log 75/16-2 log 5/9+log 32/243
  = log 75/16-log(5/9)^2+log32/243
  = log 75/16-log25/81+log 32/243
  =log((75/16*32/243)/(25/81))
  = log(75/16*32/243*81/25)=log 2
• 11 years agoHelpfull: Yes(29) No(0)
• we know that log(x/y)2= 2log(x/y)
  here 2log5/9 = log(5/9)2= log(25/81)
  log(75/16)-log(25/81)+log(32/243)
  =log(75/16*81/25)+log(32/243)
  =log(243/16)+log(32/243)
  =log(243/16*32/243)
  =log(2)=0.2010
• 11 years agoHelpfull: Yes(11) No(0)
• log75/16-log75/32=2 .......2 is answer
• 11 years agoHelpfull: Yes(2) No(4)
• log(75/16 * 32/243)/(25/81) = log 2
• 10 years agoHelpfull: Yes(1) No(0)