Question

3^m+3^m+1 =108 m =? what is value of m .
with explanation

Answer 1

Answer:

3^m+3^m+1=108

108 can be written as 81 +27

And 81=3^4

27=3^3

So,

3^m+3^m+1=3^4+3^3

Now, Bases are the same so the powers must be equal.

m+m+1=4+3

2m+1=7

2m=7-1

2m=6

m=6/2

m=3