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Express in Terms of Log 2 and Log 3 : Log 26/51 - Log 91/119 - Mathematics

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प्रश्न

Express in terms of log 2 and log 3 :
`"log"26/51 - "log"91/119`

योग

उत्तर

`"log"26/51 - "log"91/119`

= `"log"((26/51)/(91/119))   ....[ log_am - log_an = log_a(m/n)]`

= `"log"26/51 xx 119/91`

= `"log" [ 2 xx 13 ]/[ 3 xx 17 ] xx [ 7 xx 17 ] /[ 7 xx 13 ]`

= `"log" 2/3`
= log 2 - log 3      ......[ loga`m/n` = logam - logan ]

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Laws of Logarithm
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 8: Logarithms - Exercise 8 (B) [पृष्ठ १०६]

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सेलिना Concise Mathematics [English] Class 9 ICSE
अध्याय 8 Logarithms
Exercise 8 (B) | Q 1.4 | पृष्ठ १०६
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