2 power 300,3 power 200. Which is greater?

• 2^300=2^(3*100)=(2^3)^100=8^100
  and
  3^200=3^(2*100)=(3^2)^100=9^100
  9^100 > 8^100 so
  3^200 is greater than 2^300
• 14 years agoHelpfull: Yes(71) No(0)
• 3^200 > 2^300
  taking 100th root of 2^300/3^200
  we got 2^3/3^2 =8/9 2^300
• 14 years agoHelpfull: Yes(6) No(0)
• changing it into logritimic 300log2=90.4583 and 200log3=95.424 hence 3 power is greater
• 14 years agoHelpfull: Yes(4) No(4)
• 3 power 200 is greater than 2 power 300
  becoz
  2^300=2^(3*100)=8^100
  and
  3^200=3^(2*100)=9^100
  
• 12 years agoHelpfull: Yes(3) No(0)
• 2^300=2^(3*100)=8^100
  and 3^200=3^(2*100)=9^100
  hence 3 power 200 is greater
• 12 years agoHelpfull: Yes(2) No(0)
• 2^300=(2^3)^100=8^100 and 3^200=(3^2)^100=9^100 and 9> 8 so srcond term is greater.
• 10 years agoHelpfull: Yes(1) No(0)
• (2^300)=2.03*10^90
  (3^200)=2.65*10^95
  hence 3^200 is greater
• 9 years agoHelpfull: Yes(1) No(0)
• Assume 2 ^3 & 3^2 , so 2^3 = 8,3^2 = 9,
  so 9 > 8, 3^200 is answer
• 8 years agoHelpfull: Yes(1) No(0)
• 2^300=2^(3^100)=8^100
  3^200=3^(2^100)=9^100
  so, 3^200 is greater
• 8 years agoHelpfull: Yes(1) No(0)
• 3 power 200 is greater no math use,any concept trough solve it.
  
• 8 years agoHelpfull: Yes(1) No(0)
• Ans:
  
  3^200
• 8 years agoHelpfull: Yes(1) No(0)
• 2^300=(2^3)^100=8^100
  3^200=(3^2)^100=9^100
• 8 years agoHelpfull: Yes(1) No(0)
• 3 power 200 is greater
• 12 years agoHelpfull: Yes(0) No(0)