Question

2^m +3^n = 17 value of m and n if they belongs to positive integers

Answer 1

Answer:

(m , n) = ( 3 , 2) is the solution

Step-by-step explanation:

Since we have to find solution for m and n where m and n are positive integers And

2^m + 3^n = 17

If

m = 3

n = 2

Then

2³ + 3² = 8 + 9 = 17

So

(m , n) = ( 3 , 2) is the solution

Another solution is exist but n is not positive

See below

2^4 + 3^0 = 16 + 1 = 17

But in this case n = 0 is not the positive integer so

(m , n) = (4 , 0) is not the required solution.

Answer 2

Answer:

Step-by-step explanation:

Answer:

(m , n) = ( 3 , 2) is the solution

Step-by-step explanation:

Since we have to find solution for m and n where m and n are positive integers And

2^m + 3^n = 17

If

m = 3

n = 2

Then

2³ + 3² = 8 + 9 = 17

So

(m , n) = ( 3 , 2) is the solution

Another solution is exist but n is not positive

See below

2^4 + 3^0 = 16 + 1 = 17

But in this case n = 0 is not the positive integer so

(m , n) = (4 , 0) is not the required solution.