Question

log in baza 4 din 27 ??? cat este?

Answer 1

$log_4 27=log_{2^2} (3^3)=3\cdot log_{2^2}(3)=\frac{3}{log_3 {2^2}}=\frac{3}{2\cdot log_3 2}=\frac{3}{2}\cdot\frac{1}{log_3 2}=\\=\frac{3}{2}\cdot log_23.$