Question

log xy^3=a
log x^2y=b
then value of log y /log x

Answer 1

$heya \\ \\ \\ \\ log(x) + 3 log(y) = a...equation \: 1 \\ \\ 2 log(x) + log(y) = b....equation \: 2 \\ \\ multiply \: equation \: 1 \: by \: 2 \: and \: then \: subtract \: equation \: 2 \: from \: \: 1 \: we \: get \\ \\ \\ log(y) =( 2a - b) \div 5 \\ \\ put \: value \: of \: log(y) in \: above \: equation \: we \: get \\ \\ log(x) = (3b - a) \div 5 \\ \\ \\ = > \\ \\ \\ \\ log(y) \div log(x) = (2a - b) \div (3b - a) \\ \\ \\ \\ have \: \: nyc \: tym$