Question

2ⁿ+2ⁿ+2ⁿ+2ⁿ=2¹⁶
value of n?​

Answer 1

`n = 14`

Explanation:

`~~~~~~~2^n+2^n+2^n+2^n = 2^(16)\\\\\implies 4 \cdot 2^n = 2^(16)\\\\\implies 2^2 \cdot 2^n = 2^(16)\\\\\implies 2^(n+2) = 2^(16)~~~~~~~~~~~~~~~~~~~~~~~~~~~~;[a^m \cdot a^n = a^(m+n)]\\\\\implies n+ 2 = 16\\\\\implies n = 16-2 \\\\\implies n = 14`