If log10(x)=a\log_{10}(x) = alog10(x)=a and log10(y)=b\log_{10}(y) = blog10(y)=b, express log10(100xy)\log_{10}(\frac{100x}{y})log10(y100x) in terms of aaa and bbb.
2+a−b2 + a - b2+a−b
100+a−b100 + a - b100+a−b
2a−b2a - b2a−b
2+ab2 + ab2+ab