Logarithm Change of Base

📊 intermediate

$$\log_a b = \frac{\log_c b}{\log_c a}$$

Change of base formula

Variables & Units

$a$

Base

Unit: unitless

$b$

Number

Unit: unitless

$c$

New base

Unit: unitless

Key Information

📐 Derived From

Log rules

💡 Example

$\log_2 8=3$

🔧 Applications

Calculations

⚠️ Constraints

$a,c>0$

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