If 6^(x-3)=36^(x-5), then what is the value of X?
a,-1
b,2
c,7
d,No value will agree

• 6^(x-3)=6^2(x-5)
  x-3=2x-10
  x=7
• 10 years agoHelpfull: Yes(21) No(0)
• 7
  let x = 7
  6^4
  36^2 = 6^(2^2) = 6^4
  
• 10 years agoHelpfull: Yes(2) No(0)
• not an elitmus question
• 7 years agoHelpfull: Yes(1) No(0)
• 6^(x-3)=[6^2]^(x-5)
  6^(x-3)=6^(2x-(2*5))
  6^(x-3)=6^(2x-10)
  x-3=2x-10
  x=7
• 10 years agoHelpfull: Yes(0) No(0)
• 7 bcoz 6^(x-3)=6^2(x-5)
  
• 10 years agoHelpfull: Yes(0) No(0)
• Ans is 7
  => 6^(X-3)=36^(X-5)
  => 6^(X-3)=6^2(X-5)
  => X-3=2X-10
  => X=7
  
• 10 years agoHelpfull: Yes(0) No(0)
• 6^(x-3)=6^2(x-5)
  thus
  x-3=2(x-5)by solving eq we get 7
• 10 years agoHelpfull: Yes(0) No(0)
• c.7
  6^(x-3)=6^2(x-5)
  x-3=2(x-5)
  x=7
• 10 years agoHelpfull: Yes(0) No(0)
• 6^(x-3)=6^2(x-5)
  x-3=2x-10
  x=7.
• 10 years agoHelpfull: Yes(0) No(0)
• 6^(x-3)=6^2(x-5)
  6^(x-3)=6^(2x-10)
  x-3=2x-10
  x=7
• 10 years agoHelpfull: Yes(0) No(0)
• 6^(x-3)=36^(x-5)
  x-3=2x-10
  i.e,
  [6^7]/[6^x]=1
  therfore x=7
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• x will be equal to 7
• 9 years agoHelpfull: Yes(0) No(0)
• C...
  Through elimination process substitute a,b,c,d values...............
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• c.7
  x-3=2(x-5) solving this eq,we get x=7
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• 6^(X-3)=(6)^2(x-5)
  X-3=2(X-5)
  2X-X=10-3
  
  X=7
• 9 years agoHelpfull: Yes(0) No(0)
• 7
  6^4=36^2
• 9 years agoHelpfull: Yes(0) No(0)
• ans- c) 7
  6^ (x-3) = 36^ (x-5)
  => 6^(x-3) =6^ 2(x-5)
  => x-3 = 2(x-5)
  => x-3= 2x-10
  so x= 7
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• c,7
  (x-3)=2(x-5)
  x=7
• 9 years agoHelpfull: Yes(0) No(0)
• Taking log in both side
  log 6^(x-3)=log 36^(x-5)
  (x-3) log 6=(x-5) log (6)^2 (Since log m^n=n log m)
  (x-3) log 6=2(x-5) log 6
  cancel log and solve the equation we get
  x=7
• 9 years agoHelpfull: Yes(0) No(0)
• c) 7
  
  6^(x-3)=6^2(x-5)
  (x-3)=2(x-5)
  x-3=2x-10
  x=7
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• hit and trail
  x= 7
  6^4=36^2
  6^4=6^4
  prove lhs =rhs
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• 6^(x-3)=36^(x-5)
  6^(x-3)=6^2(x-5)
  From that equation we can conclude that (x-3)=2(x-5) as to the power of the same number in both side of the is equal.
  So, (x-3)=(2x-10)
  2x-x=10-3
  x=7
  So, answer is option c
• 9 years agoHelpfull: Yes(0) No(0)
• 7 satisfies the equation
• 9 years agoHelpfull: Yes(0) No(0)
• C
  6^(x-3)=36^(x-5)
  simply put the value get the result
  6^(7-3)=36^(7-5)
  6^4=36^2
  6^4=6^2+2
  6^4=6^4
• 8 years agoHelpfull: Yes(0) No(0)
• answer is 7
• 7 years agoHelpfull: Yes(0) No(0)
• C.7
  6^4=36^2=6^4
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• 6^(7-3)=36^(7-5)
  6^4=36^2
  6^2^2=6^2^2
  so ans is C=7
• 7 years agoHelpfull: Yes(0) No(0)
• Answer: C.
  This is option verification. By checking all the options, option(c) will satisfy the condition.
• 2 years agoHelpfull: Yes(0) No(0)