Properties of Logarithms

Basic Properties: $\log_b(b)=1$          $\log_b(1)=0$          $\log_b(b^x)=x$

Product Property: $\log_b(xy)=\log_b(x)+\log_b(y)$

Quotient Property: $\log_b\left(\frac{x}{y}\right)=\log_b(x)-\log_b(y)$

Power Property: $\log_b(x^n)=n\log_b(x)$

$b>0,x>0,y>0$