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Question
Simplify the following:
`2 "log" 5 +"log" 8 - (1)/(2) "log" 4`
Solution
`2 "log" 5 +"log" 8 - (1)/(2) "log" 4`
= `2 "log" 5 + "log" 2^3 - (1)/(2)"log"2^2`
= `2 "log" 5 + 3 "log" 2 - (1)/(2) xx 2 "log" 2`
= 2 log 5 + 3 log 2 - log 2
= 2 log 5 + 2 log 2
= 2(log 5 + log 2)
= 2 log (5 x 2)
= 2 log 10
= 2 x 1
= 2.
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