3n - 2n =1

Question

3ⁿ - 2ⁿ = 1 .

How man solutions does it have and prove them?

Answer 1

For n = 0, 3⁰ - 2⁰ ≠ 1

 

For n = 1, 3¹ - 2¹ = 1, True!

 

For n = 2, 3² - 2² ≠ 1

 

For all values of n > 1, 3ⁿ - 2ⁿ > 1