Question

log in baza 1/2 din (x la puterea a doua + 1) = 2

Answer 1

$log_ \frac{1}{2} (x^2+1) = 2$

a = $log_b b^a$
2 = $log_ \frac{1}{2} (\frac{1}{2})^2$

$log_ \frac{1}{2} (x^2+1) = log_ \frac{1}{2} \frac{1}{4}$
$x^2 + 1 = \frac{1}{4} | *4$
$4x^2 + 3 = 0$
Δ < 0 => x nu are solutii in R