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प्रश्न
Write the following expression as a single logarithm.
ln (x + 2) + ln (x − 2) − 3 ln (x + 5)
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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