Respostas

2013-10-24T19:59:35-02:00
Hola.

Vou fazer o mais complicado:

b) log_(625)  \sqrt{5} = log_5^{4} ~5^ \frac{1}{2} =  \frac{1}{4}* \frac{1}{2} *log_55 =  \frac{1}{4} * \frac{1}{2}*1 =  \frac{1}{8}

c) log5 (o,oooo64) = log_5 0,2^6 = 6*log_5 0,2 = 6*log_5 2/10 = 6*log_ 1/2 =
6*(log_5 1 - log_5 5) = 6*(0 - 1) = -6

Pois não:

d) Log49 3√7 = log_49 √(3²*7) = log_49 √(9*7) = log_7² √(9*7) = 1/2 * log_7√(9*7) = 1/2 * (log_7 √9  + log_77 = 1/2 *(log_7 3 + log_7 7^1/2 = 1/2*(log_7 3 + 1/2*log_7 7) = 1/2*(log_7 3 + 1/2 * 1) = 1/2*(log_7 3 + 1/2) = 1/2*log_7 2 + 1/2 * 1/2 = 1/2*log_7 3 + 1/4 Ou 
log_7√3 + 1/4
1 4 1