Prove the following: (log)10 4 ÷ (log) 10 2 = (log)3 9

Question

KnowledgeBoat · Accepted Answer

Given, log₁₀4 ÷ log₁₀2 = log₃9 Simplifying L.H.S. we get, ⇒ log₁₀4 ÷ log₁₀2 = log₁₀2² ÷ log₁₀2 = = 2. Simplifying R.H.S. we get, ⇒ log₃9 = log₃3² = 2log₃3 = 2. Since, L.H.S. = R.H.S. Hence, proved that log₁₀4 ÷ log₁₀2 = log₃9.

Mathematics

Prove the following:
log₁₀4 ÷ log₁₀2 = log₃9

Logarithms

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Prove the following:
log₁₀25+ log₁₀4 = log₅25

Mathematics

Prove the following:log104 ÷ log102 = log39

Logarithms

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Prove the following:log1025+ log104 = log525

Prove the following:
log₁₀4 ÷ log₁₀2 = log₃9

Prove the following:
log₁₀25+ log₁₀4 = log₅25