Express the following as a single logarithm:
2log₁₀5 - log₁₀2 + 3log₁₀4 + 1

Question

Express the following as a single logarithm: (2log)10 5 - (log)10 2 + (3log) 10 4 + 1

KnowledgeBoat · Accepted Answer

Given, ⇒ 2log₁₀5 - log₁₀2 + 3log₁₀4 + 1 ⇒ log₁₀5² - log₁₀2 + log₁₀4³ + log₁₀10 ⇒ log₁₀25 + log₁₀64 + log₁₀10 - log₁₀2 ⇒ log₁₀ ⇒ log₁₀. Hence, 2log₁₀5 - log₁₀2 + 3log₁₀4 + 1 = log₁₀8000.

Mathematics

Express the following as a single logarithm:
2log₁₀5 - log₁₀2 + 3log₁₀4 + 1

Logarithms

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Mathematics

Express the following as a single logarithm:2log105 - log102 + 3log104 + 1

Logarithms

Related Questions

Express the following as a single logarithm:
2log₁₀5 - log₁₀2 + 3log₁₀4 + 1