Question

how is log 2000 - log 2 = 3​

Answer 1

Answer:

log 2000/2

=log 1000

=log 10^3

=3 log 10

= 3 ×1

=3

Explanation:

log a - log b = log a/b

so log 2000- log 2 = log 2000/2 = log 1000

we can write it as log 10^3

log a^b= b log a ( its an identity)

so we get = 3log 10

here base and no both are same i.e.10 so it becomes 1 and here we get 3×1 = 3