Question

Dados $log 2 =0,301$ e $log 3 =0,477$ calcule: $log (2 \sqrt{3}) = \\ log(3 \sqrt[3]{4} =$

Answer 1

log 2=0,301
log 3=0.477

log (2√3) =
=log 2+ log √3
= log 2 + log 3^(1/2)
= log 2 + (1/2) log 3
= 0,301 + (1/2) . 0,477
= 0,301 + 0,2385
= 0,5395

log (3 ³√4)=
= log 3 + log ³√4
= log 3 + log 4^(1/3)
= log 3 + (1/3) log 4
= log 3 + (1/3) log 2²
= log 3 + (1/3) . 2 log 2
= log 3 + (2/3) log 2
= 0,477 + (2/3) 0,301
= 0,477 + 0,2007
= 0,6777