Question

find x if 2 log 5 +1/2 log y - log 3 =log x​

Answer 1

$2 log(5) + \frac{1}{2 } log(y) - log(3 ) = log(x ) \\ log_{}(5 {}^{2} ) + log(y {}^{2} ) - log(3) = log(x ) \\ log(25y {}^{2} ) - log(3 )= log(x ) \\ log( \frac{25y {}^{2} }{3} ) = log(x ) \\ x = \frac{25y {}^{2} }{3} \: \: \: \: ans.$