Question

The number 160 can be written in the form
2n 5.

Find the value of

n . 

Answer 1

`2 n^(5) = 160\\ n^(5) = 80\\n^(5) = 2 X 2 X 2 X 2 X 2\\\\n^(5) = 2 ^(5)\\\\\boxed{ n= 2\ Answer}`

Answer 2

`160|2 \\ 80|2 \\ 40|2 \\ 20|2 \\ 10|2 \\ 5 \ |5 \\ 1 \\\\ 160=2^n*5 \\\\\boxed{160=2^5*5} \\\\ \to \boxed{n\to5}}`