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Question
If log 2 = 0.3010 and log 3 = 0.4771; find the value of : log 15
Solution
We know that log 2 = 0.3010 and log 3 = 0.4771.
log 15
= log`( 15/10 xx 10 )`
= log`( 15/10 )` + log 10
= log`( 3/2 )` + 1 ...[ ∵ log 10 = 1 ]
= log 3 - log 2 + 1 ...`[ ∵ log m - log n = log (m/n)]`
= 0.4771 - 0.3010 + 1
= 1.1761
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