1. Multiplication Operations on Logarithms
Formula:log(a 10 b) = log a + log b
Example:
Count 6.28 10 2.536!
Answer:
If p = 6.28 10 2.536
log p = log (6.28 10 2.536)
log p = log 6.28 + log 2.536
log p = 1.2021
so, p = Antilog 1.2021 = 15.926
2. Division Operations on Logarithms
Formula:
Example:
Count 325.6 : 48.5!
Answer:
If p = 325.6 : 48.5
log p = log (325.6 : 48.5)
log p = log 325.6 - log 48.5
log p = 2.5127 - 1.6857
log p = 0.8270
so, p = antilog 0.8270 = 6,7
3. Root as well as Rank Operations on Logarithms
Formula:
Example:
Using the logarithm table, delight specify the value of:
Answer:
a. if p = 5^8
log p = log 5^8
log p = 8 10 log 5
log p = 8 10 0.6990
log p = 5.592
So, p = antilog 5.592 = 390800
So, p = anti log 0.2553 = 1.8001
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