What is the value of n

Question

16^n + 16^n + 16^n = 4^2015  

Answer 1

Lets start at 3 x 16^n = 4^2015

We need to change 16 to 4^2 so both terms have the same base

3 x (4^2)^n = 4^2015

3 x 4^2n = 4^2015 so

3(2n) must equal 2015 solving for n

6n= 2015

n= 335.833 or 335 5/6

Answer 2

3* 16^n = 4^2015

16^n = 4^2015

(4^2)^n = 4^(2015)

4^(2n) = 4^(2015)

2n = 2015

n = 2015/2 = 1007.5