Algebra › Section J · Exponential and logarithmic functions › Topic J.4
Properties of logarithms
Logarithms were invented to make hard arithmetic easy: multiplication becomes addition, division becomes subtraction, and exponents come down to ground level. Three rules do all of it, and they are the exponent laws in a mirror.
In this topic
- Why logs have rules at all
- The product rule
- The quotient rule
- The power rule
- Worked example: expanding a log
- Worked example: condensing logs
- What has no rule
- Logarithmic scales
- Common mistakes to avoid
- Key takeaways
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