Question

Se log 2 = 0,3 então o valor de log ... é ?

Answer 1

$log \sqrt[3]{ \frac{50}{48} } \\ \\ log ( \frac{50}{48} )^{ \frac{1}{3} } \\ \\ \frac{1}{3} .log \frac{50}{48} \\ \\ \frac{1}{3} .(log 50 - log 48) \\ \\ \frac{1}{3} .(log \frac{100}{2} - log 3.2^{4}) \\ \\ \frac{1}{3} .(log 100 - log 2 - (log 3 + 4log 2)) = \frac{1}{3} (2 - 0,3 - (log 3 + 4.0,3) \\ \\ \frac{1}{3} (2-0,3-log 3 - 1,2)= \frac{1}{3} (0,5-log 3)= \frac{1}{3}( \frac{5}{10}-log 3) \\ \\ \frac{5}{30} - \frac{log 3}{3} = \frac{1}{6} - \frac{log 3}{3}$

Alternativa B)

Espero ter ajudado.