Answer:
Step-by-step explanation:
1) The multiplication rule for logarithms states that:
[tex]log_{a} x +log_{a} y = log_{a} xy[/tex]
Example:
log(4)+log(4/9)=log(16/9)
2) The division rule for the logarithms states that:
[tex]log_{a} x -log_{a} y = log_{a} \frac{x}{y}[/tex]
Example:
log(5)-log(6)=log(5/6)
3) The power rule for logarithms state that:
[tex]log_{a} x^{y} = log_{a} xy[/tex]
Example:
[tex]log_{10}5^{2} = 2log_{10}5[/tex]