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If Log 2 = 0.3010 and Log 3 = 0.4771; Find the Value of : Log 15 - Mathematics

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प्रश्न

If log 2 = 0.3010 and log 3 = 0.4771; find the value of : log 15

योग

उत्तर

We know that log 2 = 0.3010 and log 3 = 0.4771.
log 15
= log`( 15/10 xx 10 )`
= log`( 15/10 )` + log 10
= log`( 3/2 )` + 1                   ...[ ∵ log 10 = 1 ]
= log 3 - log 2 + 1                ...`[ ∵ log m - log n = log (m/n)]`
= 0.4771 - 0.3010 + 1
= 1.1761

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Expansion of Expressions with the Help of Laws of Logarithm
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 8: Logarithms - Exercise 8 (B) [पृष्ठ १०७]

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सेलिना Concise Mathematics [English] Class 9 ICSE
अध्याय 8 Logarithms
Exercise 8 (B) | Q 12.4 | पृष्ठ १०७
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