If Log 27 = 1.431, Find the Value of : Log 300 - Mathematics

If log 27 = 1.431, find the value of : log 300

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 300
= log( 3 x 100 )
= log 3 + log 100
= log 3 + 2 ...[ ∵ log₁₀100 = 2 ]
= 0.477 + 2
= 2.477

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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 2.2 | Page 108

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