Question

log in baza 2 din 18 = 2log in baza 2 din 3 +1

Answer 1

[tex]\log_218 = 2\log_23 +1\\ \log_218 = \log_23^2 +\log_22\\ \log_218 = \log_2(3^2\cdot2)\\ 18=3^2\cdot2\:(A)\\ sau\\ \log_218=\log_2{(2\cdot9)}=\log_22+\log_29=1+\log_2{3^2}=1+2\log_23 [/tex]