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Question
Evaluate the following:
`1/2 log 625 + log 8 - 1/4 log 16`
Evaluate
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Solution
Given: `1/2 log 625 + log 8 - 1/4 log 16`
Step-wise calculation:
1. `1/2 log 625`
= `log 625^(1/2)`
= log 25
2. `1/4 log 16`
= `log 16^(1/4)`
= log 2
3. So the expression
= log 25 + log 8 – log 2
= log (25 × 8) – log 2
= log 200 – log 2
= `log 200/2`
= log 100
If log means base 10 common log, log 100 = 2.
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