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Express in terms of log 2 and log 3: log 144 - Mathematics

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प्रश्न

Express in terms of log 2 and log 3:

log 144

बेरीज

उत्तर

log 144

= log( 2 × 2 × 2 × 2 × 3 × 3 )
= log( 24 x 32 )
= log( 24 ) + log( 32 )  ....[ logamn = logam + logan]
= 4log2 + 2log3          ....[ logamn = nlogam ]

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Laws of Logarithm
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 8: Logarithms - Exercise 8 (B) [पृष्ठ १०६]

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सेलिना Concise Mathematics [English] Class 9 ICSE
पाठ 8 Logarithms
Exercise 8 (B) | Q 1.2 | पृष्ठ १०६
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