How is log 2000 - log 2 = 3 – InterviewSolution

1.	How is log 2000 - log 2 = 3
Answer» 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

How is log 2000 - log 2 = 3

Answer»

Answer:

log 2000/2

=log 1000

=log 10^3

=3 log 10

= 3 ×1

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

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How is log 2000 - log 2 = 3