Answer:
2
Explanation:
using the rules of logarithms
logx + logy = log(xy)
logx - logy = log (
)
log
⇔ nlogx
x = n ⇒ x =

given
3log2 + log200 - log16
= log 2³ + log200 - log16
= log8 + log200 - log16
= log(8 × 200) - log16
= log1600 - log16
= log (
)
= log100
let
100 = n , then
100 =
= 10²
thus value of expression is n = 2 , that is 2