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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

calculus