If log(10) 8 = 0.90; find the value of : (i) log(10) 4 (ii) log √32 (iii) log 0.125

Question

KnowledgeBoat · Accepted Answer

Given, ⇒ log₁₀ 8 = 0.90 ⇒ log₁₀ 2³ = 0.90 ⇒ 3log₁₀ 2 = 0.90 ⇒ log₁₀ 2 = ⇒ log₁₀ 2 = 0.30 .........(1) (i) Given, ⇒ log₁₀ 4 ⇒ log₁₀ 2² ⇒ 2 log₁₀ 2 Substituting value of log₁₀ 2 from equation (1) in above equation, we get : ⇒ 2 × 0.30 ⇒ 0.60 Hence, log₁₀ 4 = 0.60 (ii) Given, Substituting value of log 2 from equation (1), in above equation, we get : Hence, log = 0.75 (iii) Given, Hence, log 0.125 = -0.90

Mathematics

If log(10) 8 = 0.90; find the value of : (i) log(10) 4 (ii) log √32 (iii) log 0.125

Logarithms

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Mathematics

If log(10) 8 = 0.90; find the value of : (i) log(10) 4 (ii) log √32 (iii) log 0.125

Logarithms

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x² ÷ 100
100 ÷ x²
x ÷ 10
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If log 27 = 1.431, find the value of :
(i) log 9
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