Bab 5 Indeks dan Logaritma

$$\boxed{\begin{array}{l}\text{ Hukum 1:}\\ {\text{ log}}_{a}xy={\text{log}}_{a}x+{\text{log}}_{a}y\\ \\ \text{ Contoh:}\\ {\log }_{5}25x={\text{log}}_{5}25+{\text{log}}_{5}x\\ \\ \text{ Berhati-hati!!}\\ {\text{ log}}_{a}x+{\text{log}}_{a}y\ne {\text{log}}_a\left(x+y\right)\end{array}}$$
$$\boxed{\begin{array}{l}\text{ Hukum 2:}\\ {\text{ log}}_a\left(\frac{x}{y}\right)={\text{log}}_{a}x-{\text{log}}_{a}y\\ \\ \text{ Contoh:}\\ {\log }_5\frac{x}{25}={\text{log}}_{5}x-{\text{log}}_{5}25\\ \\ \text{ Berhati-hati!!}\\ {\text{ log}}_a\frac{x}{y}\ne \frac{{\text{log}}_{a}x}{{\text{log}}_{a}y}\end{array}}$$
$$\boxed{\begin{array}{l}\text{ Hukum 3:}\\ {\text{ log}}_a{x}^m=m{\text{log}}_{a}x\\ \\ \text{ Contoh:}\\ {\log }_5{y}^5=5{\text{log}}_{5}y\\ \\ \text{ Berhati-hati!!}\\ {\left({\text{log}}_{a}x\right)}^2\ne 2{\text{log}}_{a}x\end{array}}$$