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Prove that logbm a = 1mlogba - Mathematics and Statistics

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प्रश्न

Prove that logbm a = `1/"m" log_"b""a"`

योग
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उत्तर

logbm a = `1/"m" log_"b""a"`

L.H.S. = logbm a

= `log"a"/log "b"^"m"     ...[log_y x = logx/logy]`

= `log"a"/("m"log"b")`

= `1/"m"log_"b""a"`

= R.H.S.

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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 23. (b) | पृष्ठ ११९
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