1.
[tex] log_{2}(6) - log_{2}(3) [/tex]
[tex] = log_{2}( \frac{6}{3} ) [/tex]
[tex] = log_{2}(2) [/tex]
[tex] {2}^{x} = 2[/tex]
[tex]x = 1[/tex]
2.
[tex] log_{5}( \frac{100}{4} ) [/tex]
[tex] = log_{5}(25) [/tex]
[tex] {5}^{x} = 25[/tex]
[tex]x = 2[/tex]