If Log10 8 = 0.90; Find the Value of : Log10 4 - Mathematics

If log₁₀ 8 = 0.90; find the value of : log₁₀ 4

Sum

Given that log₁₀8 = 0.90

⇒ log₁₀2 x 2 x 2 = 0.90

⇒ log₁₀2³ = 0.90

⇒ 3log₁₀2 = 0.90

⇒ log₁₀2 = `0.90/3`

⇒ log₁₀2 = 0.30 ...(1)

log 4
= log₁₀( 2 x 2 )
= log₁₀( 2² )
= 2log₁₀2
= 2( 0.30 ) ...[ from(1) ]
= 0.60

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Laws of Logarithm

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

Chapter 8 Logarithms
Exercise 8 (C) | Q 1.1 | Page 108

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