Question

logaritmo de 4 na base 10

Answer 1

Olá !


Para calcular o valor do logaritmo , utilizaremos algumas propriedades importantes ...


Propriedades importantes :

Log ( m • n ) = Log ( m ) + Log ( n )

Log ( m / n ) = Log ( m ) - Log ( n )


Na prática teremos ...


$\mathsf{Log_{10}^{4}}$



Aplicando as propriedades logaritmas temos :

$\mathsf{Log_{10}^{4}} \\\\\\ \mathsf{Log_{10}^{4}=X} \\\\\\ \mathsf{10^{X}=4} \\\\\\ \mathsf{Log10^{X}=Log4} \\\\\\ \mathsf{X\cdot~Log10=Log4} \\\\\\ \mathsf{X=\dfrac{Log4}{Log10}} \\\\\\ \mathsf{X=\dfrac{0,6020}{1}} \\\\\\ \boxed{\mathsf{X=0,6020}}$




Portanto , Log é aproximadamente 0,6020.