Question

Dados log2=0.30 e log3=0.70, calcule log 16 raiz de 5 na base 10?

Answer 1

$Dados: \\ log 2=0,30 \\ log 3 = 0,70 \\ \\ log 16. \sqrt{5} = log16 + log \sqrt{5} \\ \\ log 2^{4}+ log 5^{ \frac{1}{2} } \\ \\ 4.log 2 + \frac{1}{2}.log 5 \\ \\ 4.log 2 + \frac{1}{2}.(log \frac{10}{2}) \\ \\ 4.log 2 + \frac{1}{2}.(log 10 - log 2) \\ \\ 4.0,30 + \frac{1}{2}.(1-0,30) \\ \\ 1,2+ \frac{1}{2}.(0,70) \\ \\ 1,2+0,35 = 1,55$

Espero ter ajudado.