17 terms

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 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