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Write the following expression as a single logarithm. ln (x + 2) + ln (x − 2) − 3 ln (x + 5) - Mathematics and Statistics

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प्रश्न

Write the following expression as a single logarithm.

ln (x + 2) + ln (x − 2) − 3 ln (x + 5)

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उत्तर

ln (x + 2) + ln (x − 2) − 3 ln (x + 5)

= ln [(x + 2) (x – 2)] – ln (x + 5)3  ...`[(log"m" + log"n" = log"mn"),("n" log "m" = log "m"^"n")]`

= ln(x2 − 4) − ln(x + 5)3

= In `((x^2 - 4)/(x + 5)^3)    ...[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. (c) | पृष्ठ ११९
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