Logarithm Rules:
Logarithm product rule
$$Log_b(x*y)\;=\;Log_b(x) + Log_b(y)$$
Logarithm quotient rule
$$Log_b(\frac{x}{y})\;=\;Log_b(x) - Log_b(y)$$
Logarithm power rule
$$Log_b(x^y)\;=\;y - Log_b(x)$$
Logarithm base switch rule
$$Log_b(c)\;=\;\frac{1}{Log_c(b)}$$
Logarithm base change rule
$$Log_b(x)\;=\;\frac{Log_c(x)}{Log_c(b)}$$
Logarithm Tables:
| x | Log10x | Log2x | Logex |
|---|---|---|---|
| 1 | 0 | 0 | 0 |
| 2 | 0.301030 | 1 | 0.693147 |
| 3 | 0.477121 | 1.584963 | 1.098612 |
| 4 | 0.602060 | 2 | 1.386294 |
| 5 | 0.698970 | 2.321928 | 1.609438 |
| 6 | 0.778151 | 2.584963 | 1.791759 |
| 7 | 0.845098 | 2.807355 | 1.945910 |
| 8 | 0.903090 | 3 | 2.079442 |
| 9 | 0.954243 | 3.169925 | 2.197225 |
| 10 | 1 | 3.321928 | 2.302585 |
