Question

Log de raiz de 7 com base 14

Answer 1

= $log_{14}$ $\sqrt{7}$

= $\frac{1}{2}$ x $log_{14}$ 7

Vamos trocar de base. A nova base serah 7:

= $\frac{1}{2}$ x $\frac{ log 7 (7) }{ log 7 (14) }$

Sabendo que: $log_{7}$ 7  = 1  

= $\frac{1}{2}$ x $\frac{1}{1 + log 7 (2)}$

=$\frac{1}{2 x (1 + log 7 (2))}$