Question

Помогите решить логарифм

Answer 1

$frac{ log_{3} ^{2} 3* sqrt{6} - log_{3} ^{2} sqrt{6} }{ log_{3} 18}= frac{( log_{3}3 sqrt{6} + log_{3} sqrt{6} )*( log_{3}3 sqrt{6}- log_{3} sqrt{6} )}{ log_{3} 18} =$
$= frac{ log_{3}(3 sqrt{6}* sqrt{6} )* log_{3} frac{3 sqrt{6} }{ sqrt{6} } }{ log_{3}18 } = frac{ log_{3} (3*( sqrt{6} ^{2} ))* log_{3} 3}{ log_{3} 18} = frac{ log_{3} 18*1}{ log_{3} 18} =1$

Answer 2

(log₃3√6-log₃√6)*(log₃3√6+log₃√6)/log₃18=log₃3*log₃18/log₃18=1