Найдите \(\log_{2}{100}\) , если \(\log_{5}{2}=a\)

• \(\frac{2(1+a)}{a}\)
• \(\frac{1+a}{a}\)
• \(2+\frac{1}{a}\)
• \(2+2a\)
• \(1+\frac{2}{a}\)
• \(1+2a\)