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Write the following expression as a single logarithm. 5 log x + 7 log y − log z - Mathematics and Statistics

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प्रश्न

Write the following expression as a single logarithm.

5 log x + 7 log y − log z

योग
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उत्तर

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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अध्याय 6: Functions - Exercise 6.1 [पृष्ठ ११९]

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बालभारती Mathematics and Statistics 2 (Arts and Science) [English] Standard 11 Maharashtra State Board
अध्याय 6 Functions
Exercise 6.1 | Q 21. (a) | पृष्ठ ११९
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