Salutare ! (っ◔◡◔)っ
Răspuns:
[tex]( log_{3}(4) - log_{3}( \frac{4}{9} ) ) \times log_{5}(3 \sqrt{5} ) = ( log_{3}(4) - ( log_{3}(4) - log_{3}(3 {}^{2} ) )) \times ( log_{5}(3) + log_{5}(5 {}^{ \frac{1}{2} } ) ) = ( log_{ 3}(4) - ( log_{3}(4) - 2)) \times ( log_{5}(3) + \frac{1}{2} ) = ( log_{3}(4) - log_{ 3}(4) + 2) \times ( log_{5}(3) + \frac{1}{2} ) = 2( log_{5}(3) + \frac{1}{2} ) = 2 log_{5}(3) + \frac{1}{2} [/tex]
Explicație pas cu pas:
[tex]formule \: \: \: folosite \: \: log_{a}( \frac{x}{y} ) = log_{a}(x) - log_{a}(y) [/tex]
[tex] log_{a}(x \times y) = log_{a}(x) + log_{a}(y) [/tex]
[tex] log_{a}(a {}^{x} ) = x[/tex]
《 Sa ai o zi frumoasa ! 》
