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Question
Write the following expression as a single logarithm.
5 log x + 7 log y − log z
Solution
5 log x + 7 log y – log z
= log (x5) + log (y7) – log z ...[n log m = log mn]
= log (x5 y7) – log z ...[log m + log n = log mn]
= `log ((x^5 y^7)/"z") ...[log "m" - log "n" = log "m"/"n"]`
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