Question

O rezolvare pentru exercițiul 2?
Mulțumesc.

Answer 1

2. a) $log_{11}(14641)=4$

b) $log_{4}(200)- log_{3}(50)= log_{ 2^{2} }(200)- log_{3}(50)= \frac{1}{2}* log_{ 2 }(200)- log_{3}(50)$

c) $log_{5}(140)- log_{5}(7)- log_{5}(10)+ log_{5}(50)=$$log_{5}(140)+ log_{5}(50)- log_{5}(7)- log_{5}(10)=$$log_{5}(140)+ log_{5}(50)- (log_{5}(7)+ log_{5}(10))=log_{5}( \frac{140*50}{7*10} )$$log_{5}(20*5 )=log_{5}(100 )=log_{5}(10 ^{2} )=2log_{5}(10 )=2log_{5}(5*2 )=$
$2(log_{5}(5)+ log_{5}( 2) )=2(1+log_{5}( 2) ) =2+2log_{5}( 2)$