Question

responde a questao da foto​

Answer 1

Resposta:

Fatora o número e aplica as propriedades

a)

$log50=log2\times5^2=\\ \\ log2+log5^2=log2+2.log5=\\ \\ 0,30+2.(0,70)=\\ \\ 0,30+1,40=\boxed{1,70}$

b)

$log600=log(2^3\times3\times5^2)=\\ \\ 3log2+log3+2log5=\\ \\ 3.(0,30)+0,48+2.(0,70)=\\ \\ 0,90+0,48+1,40=\boxed{2,78}$

c)

$log72=log(2^3\times3^2)=\\ \\ log2^3+log3^2=\\ \\ 3log2+2log3=\\ \\ 3.(0,30)+2.(0,48)=\\ \\ 0,90+0,96=\boxed{1,86}$

d)

$log0,6=log{6\over10}=log6-log10=\\ \\ log(2.3)-log10=\\ \\ log2+log3-log10=\\ \\ 0,30+0,48-1=\\ \\ 0,78-1=\boxed{-0,22}$