Question

2^m+n/2^n-m=16,Find n​

Answer 1

Answer

Correct option is

D

None of the above

2  

n−m

 

2  

m+n

 

​

 = 16

We know that  

a  

n

 

a  

m

 

​

 = a  

m−n

 

=>  

2  

n−m

 

2  

m+n

 

​

= 2  

2m

 

=> 2  

2m

 = 16 = 2  

4

 

When bases are equal, Powers are Equal

So, 2m=4

=> m = 2

=> n= 2  

a  

−m+2n−2p

 

a  

2m+n−p

 

​

 =  a  

3m−n+p

 

So,The value is dependent on p. So, Its none of these