If Log 27 = 1.431, Find the Value of : Log 9

If log 27 = 1.431, find the value of : log 9

Sum

log 27 = 1.431
⇒ log 3 x 3 x 3 = 1.431
⇒ log 3³ = 1.431
⇒ 3log3 = 1.431
⇒ log 3 = `1.431/3`
⇒ log 3 = 0.477 ...(1)

log 9
= log( 3 x 3 )
= log 32
= 2 log 3
= 2 x 0.477 ...[ from(1) ]
= 0.954

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Expansion of Expressions with the Help of Laws of Logarithm

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Chapter 8: Logarithms - Exercise 8 (C) [Page 108]

Chapter 8 Logarithms
Exercise 8 (C) | Q 2.1 | Page 108

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