logarithms

Logarithms are kinda like inverse exponential.

Rules:

• Change of base: ${\log }_{a}x=\frac{{\log }_{b}x}{{\log }_{b}a}$
• Equality rule: ${\log }_{a}x={\log }_{a}y$ then $x=y$
• Product rule: ${\log }_a(xy)={\log }_{a}x+{\log }_{a}y$
• Quotient rule: ${\log }_a\frac{x}{y}={\log }_{a}x-{\log }_{a}y$
• Power rule: ${\log }_a{x}^p=p{\log }_{a}x$