log base 10 root of 10 root of 10 root of 10..........infinity?

• root 10 of 10 of 10 ............infinity=10
  so log base 10 of 10=1
• 9 years agoHelpfull: Yes(10) No(0)
• root of 10 of 10 of ....infinity=x
  10 root x=x
  100x=x*x
  100=x
  than log base 10 of 100=2
• 9 years agoHelpfull: Yes(2) No(0)
• let x=log10root(10root(10root(10.............infinete terms.....)))))
  ===>10^x=root(10(root(10.........infinite terms.....))))
  ===>10^x=root(10*10^x)
  ===>10^2x=10^(x+1) (Base same so power will be same )
  ====>2x=x+1
  ====> x=1 answer
  =====>
• 8 years agoHelpfull: Yes(2) No(0)