Question

Sendo log2=0,301 e log3 =0,477 calcule log30

Answer 1

$\mathrm{\ell og\,}30=\mathrm{\ell og\,}(3\cdot 10)\\ \\ \mathrm{\ell og\,}30=\mathrm{\ell og\,}3+\mathrm{\ell og\,}10\\ \\ \mathrm{\ell og\,}30=\mathrm{\ell og\,}3+1$


Substituindo o valor dado, temos

$\mathrm{\ell og\,}30=0,477+1\\ \\ \boxed{\begin{array}{c} \mathrm{\ell og\,}30=1,477 \end{array}}$