17 terms

Logarithms

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Exponents to logarithms
Power rule of logarithms
The exponent can be moved to the front of the equation as a coefficient.
Addition rule of logarithms
Multiplication can be written as addition.
Subtraction rule of logarithms
Division can be written as subtraction.
Summary of log rules
log₂ (A x B)
log ₂ A + log ₂ B
log ₂ ( A÷ B)
log ₂ A − log ₂ B
log ₂ A ³
3 log ₂ A
log ₃ 3
1
log ₅ 1
0
Change to base 10 log₄ A
log ₁₀ A
log ₁₀ 4
log ₁₀ M + log ₁₀ N
log ₁₀ ( M x N)
log ₁₀ M − log ₁₀ N
log ₁₀ ( M ÷N)
5 log ₁₀ M
log ₁₀ M ⁵
Use log rules and expand log ₃ (¼)
log ₃ 1 − log ₃ 4
Simplify log ₃ (¼)
−2log₃2
Simplify log ₂ Aⁿ
n log ₂ A