Cho logab = 2. Tính: a) loga(a2b3); b) log a a^2b^3 c) log a 2b + log a b^2/2

a) log_a(a²b³) = log_aa² + log_ab³ = 2log_aa + 3log_ab = 2 . 1 + 3 . 2 = 8;

b) logaaabb3=logaa3−logab34=logaa32−logab43

=32logaa−43logab=32⋅1−43⋅2=32−83=−76;

c) loga2b+logab22=loga2b⋅b22=logab3=3logab=3⋅2=6.