Question

if log x = log 3 base 2 and y = 5 base 2 then log 150 base 2 = ?​

Answer 1

Answer:

$given \: \: log_{2}(3) = x \\ log_{2}(5) = y \: \: then \\ log_{2}(150) = log_{2}(2 \times 3 \times {5}^{2} ) = \\ log_{2}(2) + log_{2}(3) + log_{2}( {5}^{2} ) \\ = 1 + x + 2y \\ ans.$