Elitmus
Exam
Numerical Ability
Data Interpretation
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
Read Solution (Total 28)
-
- 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 - 10 years agoHelpfull: Yes(0) No(0)
- x will be equal to 7
- 9 years agoHelpfull: Yes(0) No(0)
- C...
Through elimination process substitute a,b,c,d values............... - 9 years agoHelpfull: Yes(0) No(0)
- c.7
x-3=2(x-5) solving this eq,we get x=7 - 9 years agoHelpfull: Yes(0) No(0)
- 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 - 9 years agoHelpfull: Yes(0) No(0)
- 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 - 9 years agoHelpfull: Yes(0) No(0)
- hit and trail
x= 7
6^4=36^2
6^4=6^4
prove lhs =rhs - 9 years agoHelpfull: Yes(0) No(0)
- 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
- 8 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 - 7 years agoHelpfull: Yes(0) No(0)
- answer is 7
- 7 years agoHelpfull: Yes(0) No(0)
- C.7
6^4=36^2=6^4 - 7 years agoHelpfull: Yes(0) No(0)
- 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)
Elitmus Other Question
The difference of two numbers is 14.their lcm and hcf are 441 and 7.find the numbers.
a, 21,35
b, 35,49
c, 49,63
d, 63,77
Ratan bought a car worth rs.3,50,000 four years ago.If the value of the car depreciates over time at a fixed rate of 10% per annum,then what will be the present worth of car?
a,2,29,635
b,2,50,000
c,2,30,000
d,2,55,150