Logarithms-16

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Without using log tables, evaluate : 2 log 10 5 + log 10 8 - 1 / 2 log 10 4

Solution:

2 log 10 5 + log 10 8 - 1 / 2 log 10 4

= log 10 5 2 + log 10 8 - log 10 (4) 1 / 2

= log 25 + log 8 - log 2 [if no base is written, it means the base is 10]

= log [ (25 X 8) / 2 ] = log 100 = 2

[log 10 100 = 2]

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