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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता ११ वी

Prove that logbm a = 1mlogba - Mathematics and Statistics

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प्रश्न

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

बेरीज

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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पाठ 6: Functions - Exercise 6.1 [पृष्ठ ११९]

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