Question

06. Considerando log 2 = 0,3; log 3 = 0,5 e log 5 = 0,7, determine o valor de: (
a) log 30​

Answer 1

$log\,30~=\\\\\\Fatorando~30,~temos:\\\\\\=~log\,(2\cdot3\cdot5)\\\\\\Utilizando~a~\underline{propriedade~do~logaritmo~do~produto}\\\\\\=~log\,2~+~log\,3~+~log\,5\\\\\\Substituindo~os~valores~dados\\\\\\=~0,3~+~0,5~+~0,7\\\\\\=~\boxed{1,5}$

Resposta: log 30 = 1,5