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Question
Express the following as a single logarithm:
log 18 + log 25 - log 30
Solution
log 18 + log 25 - log 30
= log (2 x 32) + log 52 - log (2 x 3 x 5)
= log 2 + log 32 + 2 log 5 - {log 2 + log 3 + log 5}
= log 2 + 2 log 3 + 2 log 5 - log 2 - log 3 - log 5
= log 3 + log 5
= log (3 x 5)
= log 15.
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