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Express the Following in Terms of Log 2 and Log 3: Log 26 51 − Log 91 119 - Mathematics

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प्रश्न

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

योग

उत्तर

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

= `"log"(2 xx 13)/(3 xx 17)-"log"(7 xx 13)/(7 xx 17)`

= `"log"(2 xx 13)/(3 xx 17)-"log"(13)/(17)`

= log13 + log2 - log3 - log17 - log13 + log17
= log2 - log3.

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Expansion of Expressions with the Help of Laws of Logarithm
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 10: Logarithms - Exercise 10.2

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फ्रैंक Mathematics [English] Class 9 ICSE
अध्याय 10 Logarithms
Exercise 10.2 | Q 3.4
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