1)log2×5-log2×35+log2×56 2)log5^2×x-log5×x-2=0 3) log1/3^3×1/9

1) [tex]log_{2}[/tex] 5 - [tex]log_{2}[/tex] 35 + [tex]log_{2}[/tex] 56 = [tex]log_{2}[/tex] [tex]\frac{5}{35}[/tex] + [tex]log_{2}[/tex] 56 = [tex]log_{2}[/tex] [tex]\frac{1}{7}[/tex] + [tex]log_{2}[/tex] 56 = [tex]log_{2}[/tex] ([tex]\frac{1}{7}[/tex] × 56) = [tex]log_{2}[/tex] 8 = 3

2) [tex]log_{5^{2} }[/tex] x - [tex]log_{5}[/tex] x - 2 = 0

2 × [tex]log_{5}[/tex] x - [tex]log_{5}[/tex] x = 2

[tex]log_{5}[/tex] x = [tex]log_{5}[/tex] 25

x = 25 = ± 5

3) [tex]log_{(\frac{1}{3})^{3} } [/tex] [tex]\frac{1}{9}[/tex] = [tex]\frac{1}{3}[/tex] × [tex]log_{\frac{1}{3} }[/tex] [tex]\frac{1}{9}[/tex] = [tex]\frac{1}{3}[/tex] × 2 = [tex]\frac{2}{3}[/tex]

1)9а-27а^4 = 9a(1-3a^3)

2)15m^2n-5mn=5mn(3m-1)