x^n+x^n = x^(n+1) here x and n are positive integers then (x+1)^(x+3) will be

M4maths Previous Puzzles

09 Jan 2013 solve

x^n+x^n = x^(n+1)
here x and n are positive integers
then (x+1)^(x+3) will be

OPtion

1) 1
2) 32
3) 243
4) 1024
5) 3125
6) 6777
7) 16
8) 64
9) 81
10) none of these

Solution

x^n+x^n = x^(n+1)
so 2*x^n = x*x^n
so x = 2
so 3^5 = 243

Correct Option: 3 Best Solution (18)

Rats   12 years AGO

x^n+x^n=x^(n+1)
2*x^n=x^n*x^1
2=x^1
i.e. x=2
so (x+1)^x+3=(2+1)^(2+3)
=3^5=243

Like? Yes (4) | No (1)  

Ayan Das   12 years AGO

x^n+x^n=x^(n+1)
putting n=1
we get 2x=x^2
or, x=0,2
so (x+1)^(x+3)=3^5=243=ans

Like? Yes (3) | No (1)  

Dr.Dipin Singh   12 years AGO

x^n+x^n = x^(n+1)
2*x^n = x^(n+1)
2 =( x^(n+1))/(x^n)= x^1=x
x=2
x+1=3
x+3=5

so (x+1)^(x+3) = 3^5= 243 .. option 3

Like? Yes (3) | No (2)  

Mintu Kumari   12 years AGO

by solving we get x=2 so 3^5=243

Like? Yes (1) | No   

Meena   12 years AGO

clearly x=2


(x+1)^(x+3) = 3^5=243

Like? Yes (2) | No (1)  

kirti komal   12 years AGO

x^n + x^n = 2x^n =x^(n+1) =x x^n
so, 2 x^n= x x^n
so, x = 2
now, (2+1)^(2+3) =3^5= 243

Like? Yes (2) | No (2)  

utpal dolui   12 years AGO

2x^n=x^n*x
x=2
(2+1)^5
=243

Like? Yes (2) | No (2)  

ARINDAM SANYAL   12 years AGO

2*x^n=x^n*x

so x=2.

on substituting , 3^5=243

Like? Yes (2) | No (2)  

Devendra Marghade   12 years AGO

x^n+x^n=x^(n+1)
2x^n=(x^n)(x^1) -> x=2
So (x+1)^(x+3)=3^5=243

Like? Yes (2) | No (2)  

aerram prathibha   12 years AGO

by equating powers as the basis are equal
=>x^2n=X^(n+1)
n=1
substituting n value in the given equation we get
x=0 and 2
so by solving the equation on substiting these 2 values v will get....... "243"

Like? Yes (2) | No (2)  

unnam sai priya   12 years AGO

x^n+x^n=2x^n
x^(n+1)=x*x^n
x*x^n=2*x^n,by cancelling x^n on both sides x=2
substitute x=2 in given expression,we get 243

Like? Yes (2) | No (2)  

Shatkratu Raj   12 years AGO

x^n+x^n=x^(n+1)
=> 2x^n=x^(n+1)
=>2=x^(n+1-n)
thus x=2

(x+1)^(x+3)=3^5=243 ans.

Like? Yes (2) | No (2)  

praveen kumar   12 years AGO

x^n+x^n=x^(n+1)
2*x^n=x^n*x
x=2
so (2+1)^(2+3)=3^5=243

Like? Yes (2) | No (2)  

venkata mounica alapati   12 years AGO

x^n+x^n=2x^n
x^(n+1)=x*x^n
x*x^n=2*x^n,by cancelling x^n on both sides x=2
substitute x=2 in given expression,we get 243

Like? Yes (2) | No (3)  

Shruthi   12 years AGO

x=2
(2+1)^(2+3)=243

Like? Yes (1) | No (2)  

Vinay Sipani    12 years AGO

2 * x^n = x^(n + 1) = x^n * x
=> x = 2

=> (x + 1)^( x + 3) = 3^5 = 243

Like? Yes (1) | No (2)  

sagar arora   12 years AGO

2^1+2^1=(2)^(2)
so
x=2 and n=1
therefore (2+1)^(2+3)
3^5=243

Like? Yes (1) | No (3)  

M.R.kartheek   12 years AGO

x = 2
3 ^ 5 = 243

Like? Yes (1) | No (3)