expand the following log(200)
Answers
Answered by
21
Answer:
log 200
log(2×100 )
log2 + log 100
log 2 +log10²
0.3+ 2
= 2.3
Answered by
0
The value of log(200) is 2.3
Given:
Formulas of logarithms
To find:
Expanding Log(200)
Solution:
To find logarithms of higher values we need to expand them to basic log values. This expansion can be solved through various formulas of the log.
Log(200), Here 200 can be written as 2 x 100
Log(2 x 100)
As we know Log(m x n) = Log m + Log n
Log 2 + Log 100
Here 100 can be written as (10)²
Log 2 + Log 10²
As we know Log m² = 2 Log m
Log 2 + 2 Log 10
The value of Log 10 is 1
Log 2 + 2
The value of Log 2 is 0.30
0.30 + 2
= 2.3
Therefore, The value of log(200) is 2.3
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