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Question
Simplify the following:
`2"log" 7 + 3 "log" 5 - "log"(49)/(8)`
Sum
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Solution
`2"log" 7 + 3 "log" 5 - "log"(49)/(8)`
= 2 log 7 + 3 log 5 - log 49 + log 8
= 2 log 7 + 3log 5 - log 72 + log 23
= 2 log 7 + 3log5 - 2log7 + 3log 2
= 3log5 + 3log2
= 3 (log5 + log2)
= 3 log(5 x 2)
= 3 log 10
= 3 x 1
= 3.
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Expansion of Expressions with the Help of Laws of Logarithm
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