## The Natural Logarithm and its Rules

The rules for Natural logarithm Are the rules for natural log the same as logarithms of other bases?  Yes, all logarithms follow the same rules regardless of base.  Those are: $$ln(ab)=ln(a)+ln(b)$$ $$ln(\frac{a}{b})=ln(a)-ln(b)$$ $$ln(b^c)=c ln(b)$$ $$ln(a)=\frac{log_b(a)}{log_b(e)}$$ The natural logarithm is simply the logarithm of base e.   In other … Continue reading The Natural Logarithm and its Rules

## Solving Functional Equations for Math Competitions

Simple problems like these are a great way for you and your math tutor to test your understanding of elementary algebra.