Memory of log rules and practice

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log₂ (A x B)

log ₂ A + log ₂ B

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log ₂ ( A÷ B)

log ₂ A − log ₂ B

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Change to base 10 log₄ A

log ₁₀ A

log ₁₀ 4

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log ₁₀ M + log ₁₀ N

log ₁₀ ( M x N)

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log ₁₀ M − log ₁₀ N

log ₁₀ ( M ÷N)

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Use log rules and expand log ₃ (¼)

log ₃ 1 − log ₃ 4

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Simplify log ₃ (¼)

−2log₃2

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Simplify log ₂ Aⁿ

n log ₂ A

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