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The change of base formula lets us rewrite a logarithm from one base to another. It's done using the formula: `\log_b M = \frac{\log_c M}{\log_c b}`, where \( b \), \( M \), and \( c \) are positive numbers (not `1`). This is useful for converting logarithms, especially when using common logarithms (base `10`) for easier calculations and applications in various fields.

Example: Rewrite \( \log_3 8 \) using base `2` logarithms.

Algebra 2

Logarithms