Question

sa se rezolve in R log$\frac{1}{2} x^{2} -lg4=log \frac{1}{2} x+lg25$

Answer 1

$log_{ \frac{1}{2}} x^{2} - log_{ \frac{1}{2}}x=lg25+lg4$
$log_{ \frac{1}{2}} \frac{ x^{2} }{x}=lg25*4$$log_{ \frac{1}{2}}x=lg100$[tex] log_{ \frac{1}{2}} x=2 [/tex]
Il scriem pe 2 in baza 1/2 si avem:
$log_{ \frac{1}{2} }x= log_{ \frac{1}{2} } (\frac{1}{2} )^{2}$
Deci x=1/4