मराठी

If Log 2 = 0.3010 and Log 3 = 0.4771 ; Find the Value of : Log 12 - Mathematics

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प्रश्न

If log 2 = 0.3010 and log 3 = 0.4771 ;  find the value of : log 12

बेरीज

उत्तर

We know that log 2 = 0.3010 and log 3 = 0.4771
log 12
= log 2 x 2 x 3
= log 2 x 2 + log 3           ...[ logamn = logam + logan ]
= log22 + log3
= 2log2 + log 3                ...[ nlogam = logamn ]
= 2( 0.3010 ) + 0.4771      ...[ ∵ log 2 = 0.3010 and log3 = 0.4771 ]

= 1.0791

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Expansion of Expressions with the Help of Laws of Logarithm
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 8: Logarithms - Exercise 8 (B) [पृष्ठ १०७]

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सेलिना Concise Mathematics [English] Class 9 ICSE
पाठ 8 Logarithms
Exercise 8 (B) | Q 12.1 | पृष्ठ १०७
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