in a triangle sides of triangle are ac=ln(n),
ab=ln(8),bc=ln(50).
what is the possible value of n?

• sum of 2sides of the triangle should be greater than the third side
  therefore,ln(50)+ln(8)>ln(n)
  Now according to the log property;log(a)+log(b)=log(a*b)
  So,ln(50*8)>ln(n)
  400>n;
  Bt the options are;
  390,395,392and 398.
  So 0 and 400 wont be included,so the ans is 398.
  
• 9 years agoHelpfull: Yes(8) No(2)
• Sum of two sides of a triange is always greater than the third side
  case 1:
  So, ln(50) + ln(8) > ln(n)
  => ln(50x8) > ln(n) ( ∵ log (a) + log(b) = log(ab) )
  => 400 > n
  i.e. n < 400
  logax is defined for x > 0. So, n will be greater than 0
  So, 0 < n < 400
  case 2:
  So, ln(50) + ln(n) > ln(8)
  => ln(50n) > ln(8) ( ∵ log (a) + log(b) = log(ab) )
  => 50n > 8
  i.e. n > 4/25
  case 3:
  So, ln(8) + ln(n) > ln(50)
  => ln(8n) > ln(50) ( ∵ log (a) + log(b) = log(ab) )
  => 8n > 50
  i.e. n > 25/4
  
  Combining results from case 1, case 2 and case 3 we get:
  25/4 < n < 400
  So, range of integral values of n satisfying the above condition is: 7 ≦ n ≦ 400
  Hence no of integral values of n are: 393
• 7 years agoHelpfull: Yes(5) No(0)
• apply sum of two side of a triangle is always greater than third side
  
  so ln(n) n
• 9 years agoHelpfull: Yes(1) No(3)
• apply sum of two side of a triangle is always greater than third side
  
  get
  400>n
  
  but options are given a) 390 b) 395 c) 392 d) 398
  what should be right ans???
  
• 9 years agoHelpfull: Yes(1) No(1)
• Ans will be398.
  Becouse 0 and 400 will not be included.
• 9 years agoHelpfull: Yes(1) No(1)
• Answer should be b) 392
  as this sum of 2 side should be greater than the third side, and it cant be equal
  So, it cant take up the value 400
  answer = 399 - 7 = 392
• 5 years agoHelpfull: Yes(1) No(0)
• Sum Of two side should be > rest of side (this is the key point)
  ln(8)+ln(50)>ln(n)
  
  ====>>(using ln(a)+ln(b)=ln(ab))
  
  ln(400)>ln(n)
  400>n ------------------------------------------- 1st condition
  
  now ln(8) + ln(n) > ln(50)
  8n > 50 (Use of same concept as above)
  n > 25/4 --------------------------------------------2nd condition
  
  also include
  ln(50) + ln(n) > ln(8)
  50n>8
  n > 4/25--------------------------------- 3rd condition..
  
  have a look on all condition and try to find out the common term of all condition
  (400 > n && n > 25/4 && n > 4/25 )
  then we can conclude simply as
  25/4 < n < 400
  7
• 9 years agoHelpfull: Yes(0) No(0)
• since log a p= log p/log a
  log ap(log a/p)/log pa(logp/a)
  log ap (log pa)/log pa(log ap)
  all the terms get cancelled
  Ans will -----1.
• 6 years agoHelpfull: Yes(0) No(0)