Question

log 5d / bc na base 5

Answer 1

Boa Tarde,

use as propriedades,

do produto..........................................$\log_w(xy)=\log_w(x)+\log_w(y)$

do quociente......................................$\log_w\left( \dfrac{x}{y}\right)=\log_w(x)-\log_w(y)$

decorrente da definição (D2)..........................$\log_w(w)=1$

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$\log_5\left( \dfrac{5d}{bc} \right)=[\log_5(5\cdot d)-\log_5(b\cdot c)]\\\log_5\left( \dfrac{5d}{bc} \right)=[\log_5(5)+\log_5(d)]-\log_5(b)+\log_5(c)\\\\ \Large\boxed{\log_5\left( \dfrac{5d}{bc} \right)=1+\log_5(d)-\log_5(b)+\log_5(c)}$